List of Publications

Published & Accepted Papers

  1. T. Dębiec, M. Schmidtchen: Incompressible limit for a two-species tumour model with coupling through Brinkman’s law in one dimension. Act. Appl. Math., 2020.
  2. L. Alasio, H. Ranetbauer, M. Schmidtchen, M.-T. Wolfram: Trend to Equilibrium for Systems with Small Cross-Diffusion. M2AN, 2020.
  3. F. Bubba, B. Perthame, C. Pouchol, M. Schmidtchen: Hele-Shaw limit for a system of two reaction-(cross-)diffusion equations for living tissues. ARMA, 2020.
  4. J. A. Carrillo, S. Fagioli, F. Santambrogio, M. Schmidtchen: Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems. SIMA, 2019.
  5. J. A. Carrillo, Y. Huang, M. Schmidtchen: Zoology of a Nonlocal Cross-Diffusion Model for Two Species. SIAP, 2018.
  6. J. A. Carrillo, M. Di Francesco, A. Esposito, S. Fagioli, M. Schmidtchen: Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions. DCDS, 2020.
  7. J. A. Carrillo, F. Filbet, M. Schmidtchen: Convergence of a Finite Volume Scheme for a System of Interacting Species with Cross-Diffusion. Numerische Mathematik, 2020.
  8. M. Burger, J. A. Carrillo, J.-F. Pietschmann, M. Schmidtchen: Segregation and Gap Formation in Cross-Diffusion Models. Interfaces and Free Boundaries, 2020.
  9. R. Bailo, J. A. Carrillo, H. Murakawa, M. Schmidtchen: Convergence of a Fully Discrete and Energy-Dissipating Finite-Volume Scheme for Aggregation-Diffusion Equations. M3AS, 2020.
  10. T. Dębiec, B. Perthame, M. Schmidtchen, N. Vauchelet: Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension. Journal de Mathématique Pures et Appliquées, 2020.

In Peer Review

  1. J. Crodelle, C. Vallejo, M. Schmidtchen, C. M. Topaz, M. R. D'Orsogna: Impacts of California Proposition 47 on Crime in Santa Monica, CA.
  2. M. Di Francesco, A. Esposito, M. Schmidtchen: Many-particle limit for a system of interaction equations driven by Newtonian potentials.
  3. G. Bevilacqua, B. Perthame, M. Schmidtchen: The Aronson-Bénilan Estimate in Lebesgue Spaces.