Analysis and PDE Seminar: The a-contraction method applied to the stability of shock wave
Wednesday, March 5, 2025 2pm to 3pm
Wednesday, March 5, 2025 2pm to 3pm
About this Event
3620 South Vermont Avenue, Los Angeles, CA 90089
Moon-Jin Kang, KAIST, Korea
Title: The a-contraction method applied to the stability of shock wave
Abstract: We will briefly discuss the method of a-contraction with shifts. This method has been used to study the stability of Riemann shock for the compressible Euler system. Also, this method is also used to show the stability of viscous shock for Navier-Stokes system, especially, to study two stability concepts:
(i) Contraction of large perturbations of viscous shock;
(ii) Long time behavior of small perturbation of viscous shock.
In this lecture, we will focus on the viscous version for the above two studies.
This program is open to all eligible individuals. USC operates all of its programs and activities consistent with the university’s Notice of Non-Discrimination. Eligibility is not determined based on race, sex, ethnicity, sexual orientation or any other prohibited factor.