Segregation and Gap Formation in Cross-Diffusion Models

Autor: Burger, M., Carrillo, J. A., Pietschmann, J. -F., Schmidtchen, M.

In this paper we analyse a class of nonlinear cross-diffusion systems for two species with local repulsive interactions that exhibit a formal gradient flow structure with respect to the Wasserstein metric. We show that systems where the population pr

Externí odkaz: http://arxiv.org/abs/1906.03712

Zoology of a non-local cross-diffusion model for two species

Autor: Carrillo, J. A., Huang, Y., Schmidtchen, M.

We study a non-local two species cross-interaction model with cross-diffusion. We propose a positivity preserving finite volume scheme based on the numerical method introduced in Ref. [15] and explore this new model numerically in terms of its long-t

Externí odkaz: http://arxiv.org/abs/1705.03320

Correction: Impacts of California Proposition 47 on crime in Santa Monica, California.

Autor: Crodelle J, Vallejo C, Schmidtchen M, Topaz CM, D'Orsogna MR

Publikováno v: PloS one [PLoS One] 2024 Nov 25; Vol. 19 (11), pp. e0314701. Date of Electronic Publication: 2024 Nov 25 (Print Publication: 2024).

Linking discrete and continuous models of cell birth and migration.

Autor: Martinson WD; Mathematical Institute, University of Oxford, Oxford, UK., Volkening A; Department of Mathematics, Purdue University, West Lafayette, IN, USA., Schmidtchen M; Institute of Scientific Computing, Technische Universität Dresden, Dresden, Germany., Venkataraman C; Department of Mathematics, University of Sussex, Brighton, UK., Carrillo JA; Mathematical Institute, University of Oxford, Oxford, UK.

Publikováno v: Royal Society open science [R Soc Open Sci] 2024 Jul 17; Vol. 11 (7), pp. 232002. Date of Electronic Publication: 2024 Jul 17 (Print Publication: 2024).

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