Some energy methods for viscous conservation laws
Title: Some energy methods for viscous conservation laws
Speaker:Prof. Akitaka Matsumura, Osaka University
Place:N613
Abstract: Through some typical Cauchy problems in the field of viscous conservation laws, this short course aims to introduce several elementary energy methods which provide "a priori" estimates for the global existence in time and asymptotic behavior of solutions.
Schedule:Auguest 30
9:00-11:00 Lecture I:
Global asymptotic stability of constant states for the generalized Burgers equation
15:00-17:00 Lecture II:
Asymptotic stability of viscous shock waves for the generalized Burgers equation
August 31
9:00-11:00 Lecture III:
Global ssymptotic stability of constant states for an isothermal/isentropic model of viscous gas
15:00-17:00 Lecture I, continued:
Global asymptotic stability of constant states for the generalized Burgers equation, II
September 1
9:00-11:00 Lecture IV:
Asymptotic stability of viscous shock waves for an isothermal/isentropic model of viscous gas
15:00-17:00 Lecture V:
Asymptotics toward rarefaction waves, and some final remarks