February 24, 2025

About the speaker

Dr. Geng Chen is an Associate Professor of Mathematics at the University of Kansas. His research interests encompass a broad range of topics including analysis, partial differential equations, fluid dynamics, mathematical physics, and mathematical modeling. He specializes in hyperbolic conservation laws, compressible Euler and Navier-Stokes equations, gas dynamics, water waves, nematic liquid crystals, nonlinear wave equations, and optimal mass transport. His research is supported by several NSF grants.

Global well-posedness for scalar integrable systems with cusp singularity

In this talk, I will talk about the global well-posedness and regularity for a sequence of scalar PDEs with cusp singularity. This sequence of PDEs includes important integrable system models modeling water wave, such as Camassa-Holm and Novikov equations. We will discuss the solutions in the space of H^1, to include the solutions beyond wave breaking.