Some energy methods for viscous conservation laws

2017-09-14

报告题目:Some energy methods for viscous conservation laws

报告人:Prof. Akitaka Matsumura, Osaka University

地点:南楼613房间

摘要: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.

 

日程: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