2024

Preprints

"Convergence of the Nonlocal Allen-Cahn Equation to Mean Curvature Flow"
Helmut Abels, Christoph Hurm and Maximilian Moser
Preprint arXiv:2410.08596

"Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness"
Helmut Abels, Harald Garcke and Andrea Poiatti
Preprint arXiv:2408.07449

"Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness"
Helmut Abels, Harald Garcke and Andrea Poiatti
Preprint arXiv:2407.14941

"Finite speed of propagation for a class of stochastic thin-film equations."
G. Grün and L. Klein
42 pages, submitted for publication

"Asymptotic and stability analysis of kinetic models for opinion formation on networks: an Allen-Cahn approach"
M. Burger, N. Loy, A. Rossi
Preprint arXiv:2407.03375v1

"Parametric finite element approximation of two-phase Navier–Stokes flow with viscoelasticity"
Harald Garcke, Robert Nürnberg, Dennis Trautwein
Preprint arXiv:2406.13566

"Existence of nonnegative energy-dissipating solutions to a class of stochastic thin-film equations under weak slippage: Part II – solutions to compactly supported initial data"
G. Grün and L. Klein
Preprint arXiv:2406.08427, 2024, 39 pages, submitted for publication

"Existence of nonnegative energy-dissipating solutions to a class of stochastic thin-film equations under weak slippage: Part I – positive solutions"
G. Grün and L. Klein
Preprint arXiv:2406.08449, 2024, 58 pages, submitted for publication

"Well-posedness and stability for the two-phase periodic quasistationary Stokes flow"
Daniel Böhme and Bogdan-Vasile Matioc
Preprint arXiv:2406.07181

"Γ-convergence and stochastic homogenization of second order singular perturbation models for phase transitions"
Antonio Flavio Donnarumma
Preprint arXiv:2406.14356

"Global solutions for semilinear parabolic evolution problems with Hölder continuous nonlinearities"
Bogdan-Vasile Matioc and Georg Prokert
Preprint arXiv:2404.11089

"Global well-posedness and numerical justification of an effective micro-macro model for reactive transport in elastic perforated media"
Jonas Knoch, Markus Gahn, Maria Neuss-Radu
Preprint arXiv:2404.04664

"Low Mach Number Limit of a Diffuse Interface Model for Two-Phase Flows of Compressible Viscous Fluids"
Helmut Abels, Yadong Liu and Šárka Nečasová
Preprint arXiv:2402.04372

"Steady periodic hydroelastic waves in polar regions"
Bogdan-Vasile Matioc and Emilian I. Parau
Preprint arXiv:2402.03857

Paper

"On a diffuse interface model for incompressible viscoelastic two-phase flows"
Yadong Liu, Dennis Trautwein
Journal of Nonlinear Science, Vol.35. Art.No.12

A fast point charge interacting with the screened Vlasov-Poisson system.
Richard M. Höfer, Raphael Winter.
To appear in Arch. Rational Mech. Anal. (2024). arxiv:2205.00035

Sedimentation of particles with very small inertia I: Convergence to the transport-Stokes equation.
Richard M. Höfer, Richard Schubert.
To appear in Duke Math. J. (2024) arXiv:2302.04637(2023)

Non-existence of mean-field models for particle orientations in suspensions.
Richard M. Höfer, Amina Mecherbet, Richard Schubert,
Journal of Nonlinear Science Vol. 34, Art. No. 3 (2024)

Hindered settling of well-separated particle suspensions
Matthieu Hillairet, Richard M. Höfer.
Pure and Applied Analysis, Vol. 6, p.p. 581-609 (2024)

"Existence of Weak Solutions to a Cahn-Hilliard-Biot System"
Helmut Abels, Jonas Haselböck and Harald Garcke
Nonlinear Anal. RWA 81 (2025) 104194

"Approximation and existence of a viscoelastic phasefield model for tumour growth in two and three dimensions"
Harald Garcke and Dennis Trautwein
Discrete Contin. Dyn. Syst. Ser. S, 17(1), pp. 221-284, 2024.

"The Mullins-Sekerka problem via the method of potentials"
Joachim Escher, Anca-Voichita Matioc and Bogdan-Vasile Matioc
Math. Nachr. 297:1960-1977, 2024
Preprint arXiv:2308.06083

"Strong Nonlocal-to-Local Convergence of the Cahn-Hilliard Equation and its Operator"
Helmut Abels and Christoph Hurm
Journal of Differential Equations 402, 593–624 (2024)
Preprint arXiv:2307.02264

"Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System in the Case of a Vanishing Mobility"
Helmut Abels, Mingwen Fei and Maximilian Moser
Calc. Var. 63, 94 (2024)
Preprint arXiv:2304.12096

"Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities"
Helmut Abels, Harald Garcke and Andrea Poatti
J. Math. Fluid Mech. (2024) 26:29
Preprint arXiv:2308.11813

"Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium"
Jonas Knoch, Markus Gahn, Maria Neuss-Radu, Nicolas Neuß
Transport in Porous Media, Jahr: 2023

PhD thesis

"Investigation of micro-macro models for reactive transport in elastically deformable perforated media"
Jonas Knoch, FAU Erlangen-Nürnberg

2023

Preprints

"Stochastic homogenisation for functionals defined on asymptotically piecewise rigid functions"
Antonio Flavio Donnarumma, Manuel Friedrich
Preprint arXiv:2312.12082

"Well-posedness of quasilinear parabolic equations in time-weighted spaces"
Bogdan-Vasile Matioc and Christoph Walker
Preprint arXiv:2312.07974

"Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System"
Helmut Abels, Julian Fischer and Maximilian Moser
Preprint arXiv:2311.02997

"Recovery of traveling water waves with smooth vorticity from thehorizontal velocity on a line of symmetry for various wave regimes"
Daniel Böhme and Bogdan-Vasile Matioc
Preprint arXiv:2308.02244

Paper

Derivation of the viscoelastic stress in Stokes flows induced by non-spherical Brownian rigid particles through homogenization.
Richard M. Höfer, Marta Leocata, Amina Mecherbet,
Pure and Applied Analysis Vol 5, pp. 409-460 (2023)

Homogenization of the Navier-Stokes equations in perforated domains in the invicid limit.
Richard. M. Höfer,
Nonlinearity Vol. 36, 6019 (2023)

"Analysis of kinetic models for label switching and stochastic gradient descent"
Martin Burger and Alex Rossi
Aimscience 2023, Volume 16, Issue 5: 717-747

"Bounded weak solutions to a class of degenerate cross-diffusion systems"
Philippe Laurencot and Bogdan-Vasile Matioc
Ann. H. Lebesgue., 6: 847-874, 2023
Preprint arXiv:2201.06479

"Capillarity driven Stokes flow: the one-phase problem as small viscosity limit"
Bogdan-Vasile Matioc and Georg Prokert
Z. Angew. Math. Phys., 74(6), 212, 2023
Preprint arXiv:2209.13376

"Short time existence of a quasi-stationary fluid-structure interaction problem for plaque growth"
Helmut Abels and Yadong Liu
Advances in Nonlinear Analysis, vol. 12, no. 1, 2023, pp.20230101
Preprint arXiv:2208.06280

"Weak and classical solutions to an asymptotic model for atmospheric flows"
Bogdan-Vasile Matioc and Luigi Roberti
J. Differential Equations, 367:603–624, 2023

"Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities"
Helmut Abels, Harald Garcke and Andrea Giorgini
Math. Ann. (2023)
Preprint arXiv:2209.10836

"Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems"
Philippe Laurencot and Bogdan-Vasile Matioc
Arch. Math. (Brno), 59(2):201-213, 2023

"Short Time Existence for Coupling of Scaled Mean Curvature Flow and Diffusion"
Helmut Abels, Felicitas Bürger, Harald Garcke
J. Evol. Equ., vol. 23, article no. 14, 46 pp., 2023

"Qualitative Properties for a System Coupling Scaled Mean Curvature Flow and Diffusion"
Helmut Abels, Felicitas Bürger, Harald Garcke
J. Differential Equations, vol. 345,pp. 334–400, 2023

"A new reformulation of the Muskat problem with surface tension"
Anca-Voichita Matioc and Bogdan-Vasile Matioc
J. Differential Equations, 350:308–335, 2023

"The porous medium equation as a singular limit of the thin film Muskat problem"
Philippe Laurencot and Bogdan-Vasile Matioc
Asymptot. Anal. 131(2):255-271, 2023

PhD thesis

"Analysis of Fluid-Structure Interaction Problems with Growth"
Yadong Liu, University of Regensburg

"Phase-Field Methods for Spectral Shape and Topology Optimization"
Paul Hüttl, University of Regensburg

"Homogenization and Multiscale Analysis of Electro-Diffusive Transport in Complex Media"
Apratim Bhattacharya, FAU Erlangen

2022

Preprints

"Estimating relative diffusion from 3D micro-CT images using CNNs"
Stephan Gärttner, Florian Frank, Fabian Woller, Andreas Meier and Nadja Ray
Preprint arXiv:2208.03337

"The nonlocal mean curvature flow of periodic graphs"
Bogdan-Vasile Matioc and Christoph Walker
Preprint arXiv:2207.07474
accepted for publication in Ann. Scuola Norm. Sup. Pisa

"The multiphase Muskat problem with general viscosities in two dimensions"
Jonas Bierler and Bogdan-Vasile Matioc
Preprint arXiv:2202.12004
accepted for publication in Adv. Differential Equations

"Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System with Different Viscosities"
Helmut Abels and Mingwen Fei
Preprint arXiv:2201.09343

"Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities"
Helmut Abels and Yutaka Terasawa
Preprint arXiv:2201.06101

Paper

"(Non-)Convergence of Solutions of the Convective Allen-Cahn Equation",
Helmut Abels
Partial Differ. Equ. Appl., vol. 3, no. 1, Paper No. 1, 11 pp, 2022

"Viscoelastic Cahn--Hilliard models for tumour growth"
Harald Garcke, Balázs Kovács, Dennis Trautwein
Mathematical Models and Methods in Applied Sciences, 32(13), 2673–2758, 2022

"Numerical analysis for a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport."
H. Garcke, D. Trautwein
Preprint arXiv:2108.01507, 2021
J. Numer. Math. 2022; 30(4):295-324 DOI: 10.1515/jnma-2021-0094

"Two-phase Stokes flow by capillarity in the plane: The case of different viscosities"
Bogdan-Vasile Matioc and Georg Prokert
NoDEA Nonlinear Differential Equations Appl., 29(5), Art. 54, 34 pp., 2022

"Bounded weak solutions to the thin film Muskat problem via an infinite family of Liapunov functionals"
Philippe Laurencot and Bogdan-Vasile Matioc,
Trans. Amer. Math. Soc., 375(8), 5963–5986, 2022

"The multiphase Muskat problem with equal viscosities in two dimensions"
Jonas Bierler and Bogdan-Vasile Matioc
Interfaces Free Bound., 24(2), 163-196, 2022

"Well-posedness of the Muskat problem in subcritical Lp-Sobolev spaces",
Helmut Abels, Bogdan-Vasile Matioc
European J. Appl. Math., 33(2). 224-266, 2022.

"Convergence of the Allen-Cahn equation with a nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle close to 90°."
H. Abels, M. Moser
SIAM J. Math. Anal., 2022

"Numerical study of single droplet drying in an acoustic levitator before the critical point of time."
M. Doß, E. Bänsch
Chemical Engineering Science Volume 248, Part A, February 2, 2022, 117149. DOI:10.1016/j.ces.2021.117149

PhD thesis

"A mathematical model for stress modulated growth and existence theorems in one spatial dimension"
Kira Bangert, University of Regensburg

"Investigation of a fully coupled micro-macro model for mineral reactions"
Stephan Gärttner, FAU Erlangen

"Patterns formation for local/nonlocal interaction functionals"
Alicja Kerschbaum, FAU Erlangen

"Optimal Control of anisotropic Allen-Cahn equations"
Johannes Meisinger, University of Regensburg

"The multiphase Muskat problem in two dimensions"
Jonas Bierler, University of Regensburg

2021

Preprints

"On a fluid-structure interaction problem for plaque growth: cylindrical domain"
H. Abels, Y. Liu
Preprint arXiv:2112.12538, 2021

"Convergence rates for the Allen-Cahn equation with boundary contact energy: The non-perturbative regime"
S. Hensel, M. Moser
Preprint arXiv: 2112.11173, 2021

"Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies."
Harald Garcke, Kei Fong Lam, Robert Nürnberg and Andrea Signori
Preprint arXiv:2111.14070, 2021

"On a fluid-structure interaction problem for plaque growth."
H. Abels, Y. Liu
Preprint arXiv:2110.00042, 2021

"Homogenization of a nonlinear drift-diffusion system for multiple charged species in a porous medium."
A. Bhattacharya, M. Gahn, M. Neuss-Radu
Preprint arXiv:2110.09257, 2021

"Convergence for thin vibrating rods to a linear beam equation."
H. Abels, T. Ameismeier
Preprint arXiv:2110.01064, 2021

"Large time existence for thin vibrating rods."
H. Abels, T. Ameismeier
Preprint arXiv:2109.11618, 2021

"Efficiency of micro-macro models for surface active two-mineral systems."
S. Gärttner, P. Frolkovič, P. Knabner, N.Ray
PREPRINT-REIHE ANGEWANDTE MATHEMATIK des Departments Mathematik
Friedrich-Alexander-Universität Erlangen-Nürnberg, 2021,
https://www1.am.uni-erlangen.de/research/preprint/pr411.pdf
accepted for publication in SIAM J. Multiscale and Simulation

"Comparison study of phase-field and level-set method for three-phase systems including two minerals."
M. Kelm, S. Gärttner, C. Bringedal, B. Flemisch, P. Knabner, N. Ray
PREPRINT-REIHE ANGEWANDTE MATHEMATIK des Departments Mathematik
Friedrich-Alexander-Universität Erlangen-Nürnberg}, 2021,
https://www1.am.uni-erlangen.de/research/preprint/pr413.pdf

"Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS."
S. Gärttner, F. O. Alpak, A. Meier, N. Ray, F. Frank
Preprint: arXiv, 2021, https://arxiv.org/abs/2109.01818

"A diffuse interface model for cell blebbing including membrane-cortex coupling with linker dynamics."
M. Burger, F. Frank, H. Garcke, P. Werner
Preprint arXiv:2107.06334, 2021

"Phase-Field Methods for Spectral Shape and Topology Optimization."
H. Garcke, P. Hüttl, C. Kahle, P. Knopf
Preprint arXiv:2107.03159, 2021

"Convergence of the scalar- and vector-valued Allen-Cahn equation to Mean Curvature Flow with 90°-Contact Angle in Higher Dimensions."
M. Moser
Preprint arXiv:2105.07100, 2021

"Optimal control of anisotropic Allen-Cahn equations"
Luise Blank and Johannes Meisinger
Preprint arXiv: 2105.13310

"Long-time dynamics of the Cahn--Hilliard equation with kinetic rate dependent dynamic boundary conditions"
Harald Garcke, Patrick Knopf and Sema Yayla
Preprint arXiv:2103.15612

"Optimal control of a quasilinear parabolic equation and its time discretization"
Luise Blank and Johannes Meisinger
Preprint arXiv: 2102.02616

"Stripped patterns for generalized antiferromagnetic functionals with power law kernels of exponent smaller than d+2."
A. Kerschbaum
Preprint arXiv:2101.02992

Paper

"Sharp Interface Limit of a Stokes/Cahn-Hilliard System, Part II: Approximate Solutions",
Helmut Abels, Andreas Marquardt
J. Math. Fluid Mech. Vol. 23, Article number: 38, (2021)

"Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials",
Bogdan-Vasile Matioc, Georg Prokert
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 151:1815-1845, 2021

"Singular limit for reactive diffusive transport through an array of thin channels in case of critical diffusivity, Multiscale Model.",
M. Gahn, M. Neuss-Radu
Simul. 19, 1573–1600, 2021

"Convective transport in nanofluids: regularity of solutions and error estimates for finite element approximations"
Eberhard Bänsch and Pedro Morin
J. Math. Fluid Mech. 23, 42 (2021)

"Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions.",
M. Gahn, M. Neuss-Radu, I.S. Pop
J. Differ. Equations 289:95–127, 2021

"On the field-induced transport of magnetic nanoparticles in incompressible flow: existence of global solutions"
Günther Grün and Patrick Weiß
J. Math. Fluid Mech., 23(10), 1-54, 2021. DOI:10.1007/s00021-020-00523-5

"Cahn-Hilliard-Brinkman systems for tumour growth",
Matthias Ebenbeck, Harald Garcke, Robert Nürnberg
Discrete Contin. Dyn. Syst. Ser. S, 2021. DOI:10.3934/dcdss.202134

"Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source term"
Matthias Ebenbeck and Kei Fong Lam
Adv. Nonlinear Anal. 10(1), 24-65, 2021. DOI:10.1515/anona-2020-0100

" A stochastic porous medium equation with divergence form noise."
N. Dirr, H. Grillmeier, G. Grün
Discrete and Continuous Dynamical Systems, 41, 2829-2871, 2021. DOI:10.3934/dcds.2020388

" Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals."
L. Bungert, M. Burger, A. Chambolle, M. Novaga
Analysis and PDE, 14(3), 823-860, 2021, DOI:10.2140/apde.2021.14.823

" Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks "
L. Bungert, E. Hait-Fraenkel, N. Papadakis, G. Gilboa
SIAM Journal on Imaging Sciences, In press. DOI:10.1137/20M1384154

"On a degenerate parabolic system describing the meancurvature flow of rotationally symmetric closed surfaces ",
Bogdan-Vasile Matioc, Harald Garcke
Journal of Evolution Equations, Volume 21, Issue 1, 2021, Pages 201-224 ,
Preprint arXiv:1905.09675

"Existence of Nonnegative Solutions to Stochastic Thin-Film Equations in Two Space Dimensions" accepted for publication in Interfaces and Free Boundaries
S. Metzger und G. Grün
arXiv:2106.07973

"Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise"
K. Dareiotis, B. Gess, M.V. Gnann, G. Grün
arXiv:2012.04356, to appear in Arch. Rat. Mech. Anal.

PhD theses

"Analysis and Numerics of Two-Phase Flows of Active Liquid Crystals with Willmore-type Interfacial Energy: A Micro-Macro Approach."
Oliver Sieber, FAU Erlangen (December 2021)

"On the field-induced transport of magnetic nanoparticles in incompressible flow"
Patrick Weiß, FAU Erlangen (November 2021)

"Interaction of Mean Curvature Flow and a Diffusion Equation"
Felicitas Bürger, University of Regensburg (October 2021)

"Sharp and diffuse interface models for the evolution of surfaces that are immersed in fluids and coupled through surfactants"
Philipp Werner, FAU Erlangen (May 2021)

"Thin Vibrating Rods: Gamma-Convergence, Large Time Existence and First Order Asymptotics"
Tobias Ameismeier, University of Regensburg (April 2021)

"Temporal Multiscale Methods for a Model of Atherosclerosis"
Florian Sonner, FAU Erlangen (February 2021)

"Sharp Interface Limits for Diffuse Interface Models with Contact Angle"
Maximilian Moser, University of Regensburg (January 2021)

"Boundary Value Problems for Evolutions of Willmore Type"
Julia Menzel, University of Regensburg (January, 2021)

2020

Preprints

"Existence of global weak solutions to an inhomogeneous Doi model for active liquid crystals.",
O. Sieber
Preprint arXiv:2006.16832, 2020

"Long-time Dynamics for a Cahn-Hilliard Tumor Growth Model with Chemotaxis",
Harald Garcke, Sema Yayla
Preprint arXiv:2005.02803

"Shape and Topology Optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach",
Harald Garcke, Paul Hüttl, Patrik Knopf
Preprint arXiv:2005.13497

"Long-time Dynamics for a Cahn-Hilliard Tumor Growth Model with Chemotaxis",
Harald Garcke, Sema Yayla
Preprint arXiv:2005.02803

"The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme.",
F. Bozorgnia, L. Bungert, D. Tenbrinck
Preprint arXiv:2004.08127, 2020

"Existence and Uniqueness of the Motion by Curvature of regular networks"
M. Gößwein, J. Menzel, A. Pluda
Preprint arXiv:2003.09962

"Phase-field dynamics with transfer of materials: The Cahn-Hillard equation with reaction rate dependent dynamic boundary conditions",
Patrick Knopf, Kei Fong Lam, Chun Liu, Stefan Metzger
Preprint arXiv:2003.12983

"Sharp Interface Limit of a Stokes/Cahn-Hilliard System,Part I:Convergence Result",
Helmut Abels, Andreas Marquardt
Preprint arXiv:2003.03139

Paper

"Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability"
T. Silva, W. Jäger, M. Neuss-Radu, A. Sequeira
J. Theor. Biol. 496, 2020, DOI: 10.1016/j.jtbi.2020.110229

"A PDE model for bleb formation and interaction with linker proteins ",
Philipp Werner, Martin Burger, Jan-Frederik Pietschmann
Trans. Math. Appl.,4, 2020. DOI:10.1093/imatrm/tnaa001

"On convergent schemes for a two-phase Oldroyd-B type model with variable polymer density"
Oliver Sieber
Journal of Numerical Mathematics, 28(2), 99-129, 2020. DOI:10.1515/jnma-2019-0019

"Convective transport in nanofluids: the stationary problem"
Eberhard Bänsch, Sara Faghih--Naini and Pedro Morin
J. Math. Anal. Appl. 489, no. 1, 124151 (2020)

"Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth",
Matthias Ebenbeck, Patrik Knopf
ESIAM: COCV, 26, 71, 2020. DOI:10.1051/cocv/2019059

"Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels",
Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu
Appl. Anal., 1-15, 2020. DOI:10.1080/00036811.2020.1789599

"Second Order Pressure Estimates for the Crank-Nicolson Discretization of the Incompressible Navier-Stokes Equations.",
F. Sonner, T. Richter
SIAM Journal on Numerical Analysis. S.375-409.58, 2020. DOI:10.1137/18M1234813

"Long time existence of solutions to an elastic flow of networks.",
H. Garcke, J. Menzel, A. Pluda
Comm. Partial Differential Equations, 45(10), 1253-1305, 2020, DOI:10.1080/03605302.2020.1771364

"A Mathematical Model of HIF-1 Regulated Cellular Energy Metabolism.",
G. Bocharov, W. Jäger, J. Knoch, M. Neuss-Radu, M. Thiel
Vietnam Journal of Mathematics, 49(1), 119-141,2020, DOI:10.1007/s10013-020-00426-y

"Voronoi implicit interface method for geometry evolution of two minerals with applications in reactive porous media.",
P. Frolkovič, N. Gajdosovà, S. Gärttner, N. Ray
Proceedings of the Conference Algoritmy, 121-130, 2020

"Efficiency and accuracy of micro-macro models for mineral dissolution.",
S. Gärttner, P. Frolkovič, P. Knabner, N. Ray
Water Resources Research 56(8), 2020, DOI: 10.1029/2020WR027585

"Localization of Passive 3-D Coils as an Inverse Problem: Theoretical Analysis and a Numerical Method.",
M. Doß, L. Bungert, D. Cichon, H. Brauer, R. Psiuk
IEEE Transactions on Magnetics, 56(4), 1-10, 2020

"Variational regularisation for inverse problems with imperfect forward operators and general noise models.",
L. Bungert, M. Burger, Y. Korolev, C.-B. Schönlieb
Inverse Problems, 36(12), 125014, 2020, DOI: 10.1088/1361-6420/abc531

"Robust Image Reconstruction with Misaligned Structural Information.",
L. Bungert, M.J. Ehrhardt
IEEE Access, 8, 222944-222955, 2020, DOI: 10.1109/ACCESS.2020.3043638

"Structural analysis of an L-ininity variational problem and relations to distance functions.",
L. Bungert, Y. Korolev, M. Burger
Pure and Applied Analysis. 2(3), 703-738, 2020, DOI: 10.2140/paa.2020.2.703

"Asymptotic profiles of nonlinear homogenous evolution equations of gradient flow type.",
L. Bungert, M. Burger
Journal of Evolution Equations, 20(3), 1061-1092, 2020, DOI: 10.1007/s00028-019-00545-1

"Stratified periodic waterwaves with singular density gradients ",
Joachim Escher, Patrik Knopf, Christina Lienstromberg, Bogdan-Vasile Matioc
Annali di Matematica Pura ed Applicata, Volume 199, Issue 5, 2020, Pages 1923–1959
Preprint arXiv:1911.13046

"On the principle of linearized stability in interpolationspaces for quasilinear evolution equations",
Bogdan-Vasile Matioc and Christoph Walker
Monatshefte für Mathematik, Volume 191, 2020, Pages 615–634
Preprint arXiv: 1804.10523

"Well-posedness and stability results for some periodic Muskat problems",
Bogdan-Vasile Matioc
Journal of Mathematical Fluid Mechanics, Volume 22, Issue 2, 2020, Paper No. 31, 45 Pages, Preprint arXiv:1804.10403

"A mixed finite element method for elliptic operators with Wentzell boundary condition",
E. Bänsch, M. Gahn
IMA J. Num. Analysis, 40, no. 1, 87--108 (2020)

PhD theses

"Nonlinear spectral analysis with variational methods."
Leon Bungert, FAU Erlangen (September 2020)

"Cahn-Hilliard-Brinkman models for tumour growth: Modelling, analysis and optimal control."
Matthias Ebenbeck, University of Regensburg (July 2020)

"Free-boundary problems and noise: Analysis and numerics of stochastic porous-medium equations and of stochastic parabolic p-Laplace equations."
Hubertus Grillmeier, FAU Erlangen (January 2020)

2019

Preprints

"On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects",
Harald Garcke, Kei Fong Lam, Andrea Signori
Preprint arXiv:1912.01945

"One-dimensionality of the minimizers for a diffuse interface generalized antiferromagnetic model in general dimension ",
Sara Daneri, Alicja Kerschbaum, Eris Runa
Preprint arXiv:1907.06419

"Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact ",
Maximilian Rauchecker, Harald Garcke
Preprint arXiv:1907.00833

"Parametric finite element approximations of curvature driven interface evolutions",
John W. Barett, Harald Garcke, Robert Nürnberg
Preprint arXiv:1903.09462

"Well-Posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact ",
Helmut Abels, Maximilian Rauchecker, Mathias Wilke
Preprint arXiv:1902.03611

Paper

"On the field-induced transport of magnetic nanoparticles in incompressible flow: modeling and numerics"
Günther Grün and Patrick Weiß
Mathematical Models and Methods in Applied Sciences, 29(12), 2321-2357, 2019. DOI:10.1142/s0218202519500477

"A thermodynamically consistent model for convective transport in nanofluids: existence of weak solutions and fem computations."
E. Bänsch
JMMA, 447, no. 1, 41-59 (2019)

"Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation."
N. Ray, J. Oberlander, P. Frolkovič
Computational Geosciences, 23, 1173-1192, 2019, DOI: 10.1007/s10596-019-09876-x

"Convergence of the Allen-Cahn Equation to the Mean Curvature Flow with 90°-Contact Angle in 2D."
H. Abels, M. Moser,
Interfaces and Free Boundaries, 21(3), 313-365, 2019

"Application of a Cellular Automaton Method to Model the Structure Formation in Soils Under Saturated Conditions: A Mechanistic Approach."
A. Rupp, T. Guhra, A. Meier, A. Prechtel, T. Ritschel, N. Ray, K.U. Totsche,
Frontiers in Environmental Science, 7, 170, 2019, DOI: 10.3389/fenvs.2019.00170

"Solution paths of variational regularization methods for inverse problems."
L. Bungert, M. Burger,
Inverse Problems, 35(10), 105012, 2019, DOI: 10.1088/1361-6420/ab1d71

"Computing nonlinear eigenfunctions via gradient flow extencion."
L. Bungert, M. Burger,
International Conference on Scale Space and Variational Methods in Computer Vision, 291-302, 2019. DOI: 10.1007/978-3-030-22368-7_23.

"Nonnegativity preserving schemes for stochastic porous medium equations"
H. Grillmeier, G. Grün, Math. Comp, 88(317), 1021–1059, 2019. DOI:10.1090/mcom/3372

"Willmore flow of planar networks"
H. Garcke, J. Menzel, and A. Pluda
J. Differential Equations
266(4), 2019–2051, 2019. DOI:10.1016/j.jde.2018.08.019

"Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis"
Matthias Ebenbeck and Harald Garcke
Journal of Differential Equations
Volume 266, Issue 9, 15 April 2019, 5998-6036

"On a Cahn-Hilliard-Brinkman model for tumor growth and its singular limits" ,
Matthias Ebenbeck and Harald Garcke
SIAM Journal on Mathematical Analysis
Volume 51, Issue 3, 2019, Pages 1868–1912

"Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation" ,
Matthias Ebenbeck and Patrik Knopf
Calculus of Variations and Partial Differential Equations
Volume 58, number 4, 2019

2018

Preprints

"Weak solutions of the Cahn-Hilliard system with dynamic boundary conditions: A gradient flow approach " ,
Patrik Knopf and Harald Garcke
Preprint arXiv:1810.09817

"Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation",
Jens Oberlander and Nadja Ray

Paper

"Well-Posedness of a Navier–Stokes/Mean Curvature Flow system"
H. Abels, M. Moser
AMS Contemporary Mathematics
710, (Mathematical Analysis in Fluid Mechanics: Selected Recent Results), 1–24, 2018. DOI:10.1090/conm/710
Preprint

"Numerical study of droplet evaporation in an acoustic levitator." ,
E. Bänsch, M. Götz
Journal of Mathematical Analysis and Applications
Physics of Fluids, 30, 037103 (2018)

"Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields" ,
Dominik Himmelsbach, Maria Neuss-Radu, Nicolas Neuß
Journal of Mathematical Analysis and Applications
Volume 461, Issue 2, 15 May 2018, Pages 1544-1560

"Effective interface conditions for processes through thin heterogeneous layers with nonlinear transmission at the bulk-layer interface" ,
Markus Gahn and Maria Neuss-Radu and Peter Knabner
Networks & Heterogeneous Media
2018, 13(4): 609-640