Course No.：S070104ZJ002
Course Category：Professional Basic Course
Period/Credits：40/2
Prerequisites:
Equations of Mathematical Physics, Preliminary Functional Analysis, Introduction to Partial Differential Equations.
Primary Coverage:
This course concentrates on the basic theory of first-order quasi-linear hyperbolic partial differential equations (FOQLHPDEs). It covers the following topics: local existence of smooth solutions to first-order quasi-linear hyperbolic PDEs, the theory of blow up of solutions and shock waves, the existence and uniqueness of global solution to FOQLHPDEs and compensated compactness theory.
Textbook:
1. LA.Ying, ZH.Teng, Conservation law equations of hyperbolic type and their difference method, Science press, 1991;
2. LC Evans，Partial Differential Equations, AMS,2002; Joel Smoller, Shock waves and reaction-diffusion equations, second edition, 1999.
Authou: Feimin Huang
