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PUBLICATIONS


2019

Preprints

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

"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

"On convergent schemes for a two-phase Oldroyd-B type model with variable polymer density",
Oliver Sieber

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

"Well-posedness and stability results for some periodic Muskat problems",
Bogdan-Vasile Matioc
Preprint arXiv:1804.10403

"On the principle of linearized stability in interpolation spaces for quasilinear evolution equations",
Bogdan-Vasile Matioc and Christoph Walker
Preprint arXiv: 1804.10523

"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