Regularity and mixing for Advection-Diffusion equations
Next Tuesday January 31, 2023:
Organized by: FAU DCN-AvH, Chair for Dynamics, Control and Numerics – Alexander von Humboldt Professorship at FAU, Friedrich-Alexander-Universität Erlangen-Nürnberg (Germany)
Title: Regularity and mixing for Advection-Diffusion equations
Speaker: David Meyer
Affiliation: Universität Münster (Germany)
Abstract. We consider Advection-Diffusion equations with a Sobolev vector field. We show convergence rates for the solutions and the energy dissipation in the zero-diffusivity limit. The main tool in our proof is a new regularity result for the solutions in terms of logarithmic Besov spaces, which also recovers the optimal regularity in the non-diffusive setting.
Based on joint work with Christian Seis.
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