**Fall 2017, Math 597C: **

**Topics course on Kinetic Theory**

**Course Information:**

Instructor: Toan T. Nguyen

Time/place: MWF 9:05-9:55am, Boucke 309

Office hours: by appointment

Syllabus: pdf

**Course Description: **I plan to cover, but not limited to, the following topics

· Classical vs. quantum particles

· BBGKY hierarchy from N-particle systems

· Derivation of kinetic models (e.g., Vlasov,
Boltzmann equations)

· Collision kernel, Conservation laws, and Boltzmann’s
H-theorem

· Hydrodynamics limits

· Homogenous Boltzmann

· Boltzmann near a Maxwellian

· Collision-less models (Vlasov-Poisson
/ Maxwell)

· Stability theory of a hot plasma

**Lecture notes:**

· Slides of my
talk in a graduate student seminar.

· See my blog
posts for lecture notes.

**Suggested References:**

· C. Cercignani, R. Illner, and M. Pulvirenti, The
Mathematical Theory of Dilute Gases. Applied Mathematical Sciences, 1994.

· B. Glassey, The Cauchy problem
in kinetic theory, Society for Industrial and Applied Mathematics (SIAM),
Philadelphia, PA, 1996. xii+241 pp.

· A. Bressan, Notes on the Boltzmann equations, Lecture notes for a
summer course, SISSA, 2005.

· C. Villani, a review of
mathematical topics in collisional kinetic theory, Handbook of mathematical
fluid dynamics, Vol. I, North-Holland, Amsterdam, 2002.

· F. Golse, on the dynamics of
large particle systems in the mean field limit, Lecture notes in Applied Math
and Mechanics book series, 2016.

· C. Cercignani, Boltzmann and
its applications, Applied Math Sciences, 1998.

Back to Toan Nguyen's homepage__.__

Visit Toan Nguyen's blog: Snapshots in Mathematics!__.__