Markus Schmidtchen

Zoology of a Nonlocal Cross-Diffusion Model for Two Species

José A. Carrillo, Yanghong Huang, Markus Schmidtchen · SIAM Journal on Applied Mathematics · 2018 · 82 citations · Full text

Nonlocal Two, Engineering, Physics +13

Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems

José A. Carrillo, Simone Fagioli, Filippo Santambrogio et al. · SIAM Journal on Mathematical Analysis · 2018 · 43 citations · Full text

Engineering, Variational Analysis, Physics +15

Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension

Tomasz Dębiec, Benoı̂t Perthame, Markus Schmidtchen et al. · Journal de Mathématiques Pures et Appliquées · 2020 · 32 citations · Full text

Two-species Model, Hyperbolic Conservation Law, Numerical Simulation +5

Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues

Federica Bubba, Benoı̂t Perthame, Camille Pouchol et al. · Archive for Rational Mechanics and Analysis · 2019 · 31 citations · Full text

Diffusion Equations, Engineering, Diffusion Resistance +7

Convergence of a Finite Volume Scheme for a System of Interacting\n Species with Cross-Diffusion

José A. Carrillo, Francis Filbet, Markus Schmidtchen · arXiv (Cornell University) · 2018 · 25 citations · Full text