Tue, November 11, 2025
11:30 am - 12:30 pm
Math Tower (MW) 154
Adrian Lam
The Ohio State University
Title
Hamilton-Jacobi Approach in Wave Propagation Problems
Abstract
I will discuss the speed and more generally the shape of expansion in wave propagation problems. The key idea is to exploit the passage to the limiting Hamilton-Jacobi equation, whose solution can be characterized by the principle of least action (or geometric optics). Examples of such applications include the Fisher-KPP equations in heterogeneous media or ones that subject to a shifting climate. We also discuss the spatial spread of a population in two-dimensional domain where diffusion is fast on the x-axis.