Katharina Hopf

Weierstrass Institute for Applied Analysis and Stochastics
Research Group Partial Differential Equations

E-mail: hopf(at)wias-berlin.de

Research interests: Analysis and PDEs. In particular nonlinear evolution equations arising in physics and biology, coupled parabolic systems, reaction-diffusion systems, singularities and blow-up, degenerate diffusion, viscosity solutions, fractional diffusion and nonlocal problems.

Publications and Preprints:

  • (with J. L. Rodrigo)

    Aggregation equations with fractional diffusion: preventing concentration by mixing. Commun. Math. Sci. (2018). arXiv:1703.05578

  • (with J. A. Carrillo and J. L. Rodrigo)

    On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift. Adv. Math. (2020). arXiv:1901.11098

  • (with J. A. Carrillo and M.-T. Wolfram)

    Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons. To appear in Kinet. Relat. Models. arXiv:1902.06266