List of Publications

Published & Accepted Papers

  1. G. Bevilacqua, B. Perthame, M. Schmidtchen: The Aronson-Bénilan Estimate in Lebesgue Spaces. l'IHP(C)-ANL, 2022.
  2. N. David, M. Schmidtchen: On the Incompressible Limit for a Tumour Growth Model incorporating Convective Effects. CPAM, 2022.
  3. 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.
  4. L. Alasio, H. Ranetbauer, M. Schmidtchen, M.-T. Wolfram: Trend to Equilibrium for Systems with Small Cross-Diffusion. M2AN, 2020.
  5. 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.
  6. J. A. Carrillo, S. Fagioli, F. Santambrogio, M. Schmidtchen: Splitting Schemes and Segregation in Reaction Cross-Diffusion Systems. SIMA, 2019.
  7. J. A. Carrillo, Y. Huang, M. Schmidtchen: Zoology of a Nonlocal Cross-Diffusion Model for Two Species. SIAP, 2018.
  8. 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.
  9. 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.
  10. M. Burger, J. A. Carrillo, J.-F. Pietschmann, M. Schmidtchen: Segregation and Gap Formation in Cross-Diffusion Models. Interfaces and Free Boundaries, 2020.
  11. 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.
  12. 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.
  13. M. Di Francesco, A. Esposito, M. Schmidtchen: Many-particle limit for a system of interaction equations driven by Newtonian potentials. Calculus of Variations and Partial Differential Equations, 2021.
  14. J. Crodelle, C. Vallejo, M. Schmidtchen, C. M. Topaz, M. R. D'Orsogna: Impacts of California Proposition 47 on Crime in Santa Monica, CA. PLOS ONE, 2021.
  15. M. Schmidtchen, O. Tse, S. Wackerle: A Multiscale Approach for Spatially Inhomogeneous Disease Dynamics. Commun Biomathematical Sci, 2018.

In Peer Review

  1. A. Esposito, R. Gvalani, A. Schlichting, M. Schmidtchen: On a Novel Gradient Flow Structure for the Aggregation Equation
  2. G. Heinze, J.-F. Pietschmann, M. Schmidtchen: Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics.