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Markus Schmidtchen
Tytuł
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Zoology of a nonlocal cross-diffusion model for two species
JA Carrillo, Y Huang, M Schmidtchen
SIAM Journal on Applied Mathematics 78 (2), 1078-1104, 2018
902018
Splitting schemes and segregation in reaction cross-diffusion systems
JA Carrillo, S Fagioli, F Santambrogio, M Schmidtchen
SIAM Journal on Mathematical Analysis 50 (5), 5695-5718, 2018
602018
Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension
T Dębiec, B Perthame, M Schmidtchen, N Vauchelet
Journal de Mathématiques Pures et Appliquées 145, 204-239, 2021
442021
Hele–Shaw limit for a system of two reaction-(cross-) diffusion equations for living tissues
F Bubba, B Perthame, C Pouchol, M Schmidtchen
Archive for Rational Mechanics and Analysis 236 (2), 735-766, 2020
422020
Convergence of a fully discrete and energy-dissipating finite-volume scheme for aggregation-diffusion equations
R Bailo, JA Carrillo, H Murakawa, M Schmidtchen
Mathematical Models and Methods in Applied Sciences 30 (13), 2487-2522, 2020
372020
Convergence of a finite volume scheme for a system of interacting species with cross-diffusion
JA Carrillo, F Filbet, M Schmidtchen
Numerische Mathematik 145, 473-511, 2020
342020
On the incompressible limit for a tumour growth model incorporating convective effects
N David, M Schmidtchen
Communications on Pure and Applied Mathematics 77 (5), 2613-2650, 2024
332024
Incompressible limit for a two-species tumour model with coupling through Brinkman’s law in one dimension
T Dębiec, M Schmidtchen
Acta Applicandae Mathematicae 169, 593-611, 2020
302020
Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions
JA Carrillo, M Di Francesco, A Esposito, S Fagioli, M Schmidtchen
arXiv preprint arXiv:1810.10236, 2018
262018
Many-particle limit for a system of interaction equations driven by Newtonian potentials
M Di Francesco, A Esposito, M Schmidtchen
Calculus of Variations and Partial Differential Equations 60 (2), 68, 2021
162021
Segregation effects and gap formation in cross-diffusion models
M Burger, JA Carrillo, JF Pietschmann, M Schmidtchen
Interfaces and Free Boundaries 22 (2), 175-203, 2020
162020
A degenerate cross-diffusion system as the inviscid limit of a nonlocal tissue growth model
N David, T Dębiec, M Mandal, M Schmidtchen
SIAM Journal on Mathematical Analysis 56 (2), 2090-2114, 2024
152024
Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities
G Heinze, JF Pietschmann, M Schmidtchen
SIAM Journal on Mathematical Analysis 55 (6), 7039-7076, 2023
122023
The aronson–bénilan estimate in lebesgue spaces
G Bevilacqua, B Perthame, M Schmidtchen
Annales de l'Institut Henri Poincaré C 40 (2), 259-286, 2022
122022
Impacts of California Proposition 47 on crime in Santa Monica, California
J Crodelle, C Vallejo, M Schmidtchen, CM Topaz, MR D’orsogna
PLoS one 16 (5), e0251199, 2021
122021
Trend to equilibrium for systems with small cross-diffusion
L Alasio, H Ranetbauer, M Schmidtchen, MT Wolfram
ESAIM: Mathematical Modelling and Numerical Analysis 54 (5), 1661-1688, 2020
102020
A multiscale approach for spatially inhomogeneous disease dynamics
M Schmidtchen, O Tse, S Wackerle
arXiv preprint arXiv:1602.05927, 2016
102016
On a novel gradient flow structure for the aggregation equation
A Esposito, RS Gvalani, A Schlichting, M Schmidtchen
Calculus of Variations and Partial Differential Equations 63 (5), 126, 2024
82024
Derivation of a macroscopic model for Brownian hard needles
M Bruna, SJ Chapman, M Schmidtchen
Proceedings of the Royal Society A 479 (2274), 20230076, 2023
72023
Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics
G Heinze, JF Pietschmann, M Schmidtchen
arXiv preprint arXiv:2204.09553, 2022
72022
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