Mathematical problems in the kinetic theory of gases : proceedings of a conference, Oberwolfach, May 20-26, 1979
著者
書誌事項
Mathematical problems in the kinetic theory of gases : proceedings of a conference, Oberwolfach, May 20-26, 1979
（Methoden und Verfahren der mathematischen Physik, Bd. 19）
P.D. Lang, c1980
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注記
Includes bibliographical references
収録内容
- The derivation of kinetic equations from Hamiltonian dynamics / Spohn, H
- Global solution of the discrete Boltzmann equation / Cabannes, H
- The Carleman model / Shinbrot, M
- On the existence of global classical solutions of the initial value problem of stellar dynamics / Horst, E
- Recurrent phase flows and stellar dynamics / Kurth, R
- Exact solutions of non-linear model Boltzmann equations / Ernst, M. H
- Making the Chapman Enskog solution uniformly valid / Butler, D. S
- Generalized Maxwell method for solving kinetic boundary-value problems / Kuščer, I., Miklavčič, M
- A nonlinear criticality problem in the kinetic theory of gases / Cercignani, C
- Recent progress in the singularity theory for semilinear waves / Reed, M. C
内容説明・目次
内容説明
The kinetic theory of gases is a most fruitful field for mathematical research. This is evident from the multiplicity of mathematical methods used, the originality of the questions posed and the large number of hitherto unsolved fundamental problems. For example, the question of existence and uniqueness of solutions of various non-linear kinetic equations is still a wide open one. Simplified model equations and various approximations therefore assume considerable significance for the understanding of problem structure and for the solution of practical problems.
目次
Contents: The book covers thematically and in method a wide area of mathematical research in the kinetic theory of gases. It contains 10 articles by the following renowned mathematicians and physicists: H. Spohn, H. Cabannes, M. Shinbrot, E. Horst, R. Kurth, M.H. Ernst, D.S. Butler, I. Kuscer, C. Cercignani and M.C. Reed.
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