Events for 04/07/2023 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 1:50PM - 2:50PM

Location: BLOC 302

Speaker: Nestor Guillen, Texas State University

Title: Cancelled!!!Landau’s approximation and related equations

Abstract: The Landau approximation is an important equation in kinetic theory arising as an asymptotic limit for the Boltzmann equation. Despite not being parabolic, this equation is amenable to study by methods from the theory of parabolic equations. Determining whether blow up occurs or not is one of the most important and challenging the questions in the field. I will give a brief introduction to the equation, explain what makes it challenging from a PDE perspective including a comparison with the semi linear heat equation. Then I will mention some recent partial results by several researchers aimed at resolving the blow up question. In particular, I will discuss recent work with Maria Gualdani (UT Austin) on an isotropic version of the equation that was introduced by Krieger and Strain.