Associated Project 6 • Stability and instability in fluids and materials

In our research we consider physically motivated problems in partial differential equations, which combine physical effects and interesting mathematical phenomena.
Two particular points of focus here are the role of mixing and resonances in fluids and microstructures in materials.

Publications

1. C. Zillinger. On echo chains in Landau damping: traveling wave-like solutions and Gevrey 3 as a linear stability threshold. Ann. PDE, 7(1):1–29, January 2021. URL https://doi.org/10.1007/s40818-020-00090-y. [preprint] [bibtex]

Preprints

2. C. Zillinger. On the Boussinesq equations with non-monotone temperature profiles. CRC 1173 Preprint 2020/32, Karlsruhe Institute of Technology, November 2020. [bibtex]

3. F. Della Porta, A. Rüland, J. Taylor, and C. Zillinger. On a probabilistic model for martensitic avalanches incorporating mechanical compatibility. CRC 1173 Preprint 2020/31, Karlsruhe Institute of Technology, October 2020. [bibtex]

4. C. Zillinger. On enhanced dissipation for the Boussinesq equations. Preprint, Basque Center for Applied Mathematics, April 2020. [bibtex]