Weierstrass Institute for Applied Analysis and Stochastics
Research Group Partial Differential Equations
I am a postdoctoral researcher in the PDE group at WIAS, working in the team of Alexander Mielke. Prior to Berlin, I completed my PhD studies at the University of Warwick. For my dissertation, I have recently been awarded the 2020 Faculty of Science Thesis Prize in Mathematics.
Research interests: Analysis and PDEs; in particular nonlinear evolution equations arising in physics and biology. Entropy based methods for strongly coupled parabolic systems, reaction-diffusion systems. Variational approaches to the continuum mechanics of soft materials. Singularity formation and blow-up in nonlinear parabolic PDEs, viscosity solutions.
Publications and Preprints:
- (with T. Eiter and A. Mielke)
Leray-Hopf solutions to a viscoelastic fluid model with nonsmooth stress-strain relation. Preprint. arXiv:2104.05545
- Weak-strong uniqueness for energy-reaction-diffusion systems. Preprint. arXiv:2102.02491
- (with J. Fischer, M. Kniely, and A. Mielke)
Global existence analysis of energy-reaction-diffusion systems. Preprint. arXiv:2012.03792
- (with J. A. Carrillo and J. L. Rodrigo)
- (with J. A. Carrillo and M.-T. Wolfram)
- (with J. L. Rodrigo)