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 | 80 | 2018 |
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 | 53 | 2018 |
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 | 36 | 2021 |
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 | 36 | 2020 |
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 | 30 | 2020 |
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 | 30 | 2020 |
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 | 27 | 2024 |
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 | 27 | 2020 |
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 | 24 | 2018 |
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 | 16 | 2020 |
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 | 14 | 2021 |
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 | 11 | 2022 |
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 | 8 | 2023 |
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 | 8 | 2021 |
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 | 8 | 2020 |
A multiscale approach for spatially inhomogeneous disease dynamics M Schmidtchen, O Tse, S Wackerle arXiv preprint arXiv:1602.05927, 2016 | 8 | 2016 |
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 | 7 | 2024 |
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 | 6 | 2024 |
Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics G Heinze, JF Pietschmann, M Schmidtchen arXiv preprint arXiv:2204.09553, 2022 | 6 | 2022 |
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 | 5 | 2023 |