AMSC 698L Resources, Fall 2012
Required Text
During the course I will be preparing notes. These will be made
available on the web as they become ready.
- From Kinetic Theory to Fluid Dynamics ,
C.D. Levermore,
Notes, 2012.
Other Resources
The following are some standard references. The list will be enlarged
during the term. Please note that some of the references given may be
out of print.
- The Boltzmann Equation and its Applications ,
Carlo Cercignani,
Appl. Math. Sci. 67 ,
Springer-Verlag, New York, 1988.
- The Mathematical Theory of Dilute Gases ,
Carlo Cercignani, Reinhart Illner, and Mario Pulvirenti,
Appl. Math. Sci. 106 ,
Springer-Verlag, New York, 1994.
- The Cauchy Problem in Kinetic Theory ,
Robert T. Glassey,
Society for Industrial and Applied Mathematics, Philadelphia, 1996.
Here are two references that give historical accounts of kinetic theory.
- Boltzmann's Atom ,
David Lindley,
The Free Press, New York, 2001.
- Ludwig Boltzmann: The Man Who Trusted Atoms ,
Carlo Cercignani,
Oxford University Press, Oxford 1998.