Ngô Quốc Anh

May 6, 2009

MA5213: Advanced Partial Differential Equations

Filed under: Linh Tinh — Ngô Quốc Anh @ 14:10

The text books used to prepare this course are

  1. Walter Strass, Partial Differential Equation: and Introduction, John Wiley & Sons, 1992, ISBN 0-471-54868-5.
  2. Fritz John, Partial Differential Equations, 4th ed, 1982, Springer, ISBN 0-387-9060606-6.

Assessment: 70% CA 30% Final Exam.

The topics scheduled will include:

  • Wave Equations. (Hyperbolic equation with space-dimensions 1,2,3) Characteristic Curves method, energy methods, Green’s function, Kirchkoff formula.
  • Heat equation. (Parabolic equation) Maximal principle, Heat Kernel, Energy method.
  • Green’s functions
  • Nonlinear equations such as shock wave theories, Burgers equation, shock layers, and stability of viscous shock layers for compressible Navier-Stokes equation, Broadwell model,

Lecture Notes:

Final exam: ma5213_final

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