MATH6041 - Topics in Differential Equations I - 2020/21

Course Year: 

General Information


  • Professor Zhouping Xin
    • Office: AB1 701
    • Tel: 3943 4100
    • Email:

Time and Venue

  • Lecture: Tue 15:30-18:15 (Face-to-Face at AB1 G03, 20 Oct - 24 Nov)

Course Description

Topics in Differential Equations I - Some Topics in Hyperbolic Conservation Laws

Introduction to shock wave theory, Riemann Problems, Glimm Theory and Random choice methods, Uniqueness theory of viscosity solutions, stability of nonlinear waves, multi-dimensional hyperbolic conservation laws, non-uniqueness theory, Initial-boundary value problems, Formation of Singularities, Steady compressible flows.

Zoom Link (8 Sep - 13 Oct & 1 Dec):

Meeting ID: 386 978 4315

Passcode: (to be emailed to the students who take this course)


  • J. A. Smoller: Shock Waves and Reaction-Diffusion Equations
  • C. M. Dafermos: Hyperbolic Conservation Laws in Continuum Mechanics
  • A. Majda: Compressible Fluid Flow and System of Conservation Laws in Several Space Variables
  • D. Serre: Systems of Conservation Laws, Vols. 1 & 2, 1999

Lecture Notes

Quizzes and Exams

Assessment Scheme

Each student will be asked to report on a topic assigned by the teacher (the topic can be a paper related to the course or report on the content learned in the class). 100%

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.

Assessment Policy

Last updated: December 02, 2020 10:57:28