University of Oxford

EPSRC - Engineering and Physical Sciences Research Council

        

EPSRC Centre for Doctoral Training

In Partial Differential Equations: Analysis and Applications

Topic Course:  Nonlinear Hyperbolic PDEs

Hilary Term   2022,   Prof. Gui-Qiang G. Chen

Duration:     8 hours

Overview:

The mathematical theory of hyperbolic partial differential equations is a large subject, which has close connections with the other branches of mathematics including analysis, mechanics, mathematical physics, and differential geometry/topology.  Besides its mathematical importance, it has a wide range of applications in engineering, mechanics, physics, biology, and economics.

This course will be focused on the nonlinear theory of hyperbolic PDE as an introduction.  No previous knowledge of hyperbolic PDE will be assumed.   However, some familiarity with basic PDE theory, analysis, and algebra is desirable.

Lecture Notes:

Lecture 1
Lecture 2
Lecture 3

 

Lecture 4