Kinetic Theory and Introduction to Shock Wave Theory
11:20~13:10 and 14:20~16:20
October: 12,19,26 & November: 2,9,16,23,30
Instructor:
Kazuo Aoki (NCTS & National Cheng Kung University)
Tai-Ping Liu (Academia Sinica)
Organizers:
Kung-Chien Wu (National Cheng Kung University & NCTS)
Course Outline
Background & Purpose：
(1) Kinetic theory and fluid dynamics:
(a) Instructor: Kazuo Aoki
(b) Course Outline: brief introduction to kinetic theory of gases, Chapman-Enskog and Hilbert expansions, Sone's generalized slip flow theory (linear theory, weakly nonlinear theory, fully nonlinear theory), ghost effect.
(c) Prerequisite Course(s): Linear algebra and multi-variables calculus.
(d) Grading: Homework will be assigned weekly, and no exam.
(e) Textbook: None. [Reference: Y. Sone, Kinetic Theory and Fluid Dynamics (Birkhauser, 2002); Molecular Gas Dynamics: Theory, Techniques, and Applications (Birkhauser, 2007)]
(2) Introduction to Shock Wave Theory
(a) Instructor: Tai-Ping Liu
(b) Course Outline: weak solutions, entropy conditions, Riemann problem, well-poseness theory, nonlinear waves, non-linear resonance.
(c) Prerequisite Course(s): Linear algebra and multi-variables calculus.
(d) Grading: Homework will be assigned weekly, and no exam.
(e) Textbook: None.