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Katharina Hopf

Office: B3.04

E-mail: k.hopf(at)warwick.ac.uk

Research interests: Analysis and PDEs. In particular nonlinear evolution equations arising in physics and biology, fluid mechanics, singularities and blow-up, nonlocal equations, fractional diffusion, viscosity solutions for second order equations.

Supervisor: José L. Rodrigo

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 equilibriumin in 1D Fokker-Planck model with superlinear drift. Submitted. arXiv:1901.11098

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

    Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons. Submitted. arXiv:1902.06266

Education:
  • 2016: MSc in Mathematics and Statistics (Distinction), University of Warwick
  • Previous studies in Mathematics at Albert–Ludwigs University of Freiburg, Germany
Award: Teaching assistance (at Warwick only):
  • MA4A2: Advanced PDEs (2018)
  • MA4J0: Advanced Real Analysis (2018)
  • MA433: Fourier Analysis (2017)
  • MA3G1: Theory of Partial Differential Equations (2017)
  • MA3J4: Mathematical modelling with PDE (2016)