Mapl 698L Resources, Spring 2002
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 ,
F. Golse and C.D. Levermore,
Notes, 2002.
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 on the mathematics of the incompressible
Navier-Stokes equations.
- Navier-Stokes Equations ,
Peter Constantin and Ciprian Foias,
The University of Chicago Press, Chicago, 1988.
- Applied Analysis of the Navier-Stokes Equations ,
Charles R. Doering and J.D. Gibbon,
Cambridge University Press, Cambridge, 1995.
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.