Welcome to
GRK 2339 IntComSin


Logo GRK 2339





IntComSin

Research Training Group 2339 (RTG 2339) Interfaces, Complex Structures, and Singular Limits


Publications

 

2020

Preprints
 
"Existence of Global Weak Solutions to an Inhomogeneous Doi Model for Active Liquid Crystals",
Oliver Sieber
Preprint arXiv:2006.16832
 
"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

"Effective transmission conditions for reaction-diffusion processes in domains separated by thin channels",
Apratim Bhattacharya, Markus Gahn, Maria Neuss-Radu
Preprint arXiv:2003.11946

"Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials",
Bogdan-Vasile Matioc, Georg Prokert
Preprint arXiv:2003.14010

"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

"Cahn-Hilliard-Brinkman systems for tumour growth",
Matthias Ebenbeck, Harald Garcke, Robert Nürnberg
Preprint arXiv:2003.08314

"Well-posedness of the Muskat problem in subcritical Lp-Sobolev spaces",
Helmut Abels, Bogdan-Vasile Matioc
Preprint arXiv:2003.07656

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

Paper
"Well posedness and stability results for some periodic Muskat problems"
Bogdan-Vasile Matioc
 "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
 
"On convergent schemes for a two-phase Oldroyd-B type model with variable polymer density"
Oliver Sieber
Journal of Numerical Mathematics
Volume 28, Issue 2, Pages 99-129, 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

"Convective transport in nanofluids: regularity of solutions and error estimates for finite element approximations"
Eberhard Bänsch and Pedro Morin
Preprint arXiv:1912.04205

"Stratified periodic waterwaves with singular density gradients ",
Joachim Escher, Patrik Knopf, Christina Lienstromberg, Bogdan-Vasile Matioc
Preprint arXiv:1911.13046 to appear in Ann. Mat. Pura Appl.

"Convective transport in nanofluids: the stationary problem"
Eberhard Bänsch, Sara Faghih--Naini and Pedro Morin
Preprint arXiv:1911.04958

"Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source term"
Matthias Ebenbeck and Kei Fong Lam
Preprint, arXiv:1909.02289

"On the field-induced transport of magnetic nanoparticles in incompressible flow: existence of global solutions"
Günther Grün and Patrick Weiß
Mathematical Models and Methods in Applied Sciences,submitted for publication

"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, in press

"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

"On a degenerate parabolic system describing the meancurvature flow of rotationally symmetric closed surfaces ",
Bogdan-Vasile Matioc, Harald Garcke
Preprint arXiv:1905.09675 to appear in Journal of Evolution Equations

"A PDE model for bleb formation and interaction with linker proteins ",
Philipp Werner, Martin Burger, Jan-Frederik Pietschmann
Preprint arXiv:1904.03474

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

"Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth",
Matthias Ebenbeck, Patrik Knopf
Preprint arXiv:1903.00333

"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
"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

"On a Cahn-Hilliard-Brinkman model for tumour growth and its singular limits",
Matthias Ebenbeck and Harald Garcke
Preprint: arXiv:1811.06699

"Optimal medication for tumors modeled by a Cahn-Hilliard-Brinkman equation ",
Matthias Ebenbeck and Patrik Knopf
Preprint arXiv:1811.07783

"Analysis of a Cahn-Hilliard-Brinkman model for tumour growth with chemotaxis" ,
Matthias Ebenbeck and Harald Garcke
Preprint: arXiv:1807.00705

"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

"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