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Stochastic Formulation for the Initial-Boundary Value Problems of the Boltzmann Equation

โœ Scribed by Shih-Hsien Yu

Publisher
Springer
Year
2008
Tongue
English
Weight
690 KB
Volume
192
Category
Article
ISSN
0003-9527

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๐Ÿ“œ SIMILAR VOLUMES

On the initial-boundary value problem fo
On the initial-boundary value problem for the Boltzmann equation
โœ Carlo Cercignani ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 389 KB

A theorem on the traces of the solutions of initial-boundary value problems for the Boltzmann equation is proved. This result makes it possible to extend a recent theorem of existence proved by I-IAMDACHE to more realistic situations.

Initial boundary value problems for the
Initial boundary value problems for the Carleman equation
โœ W.E. Fitzgibbon ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 429 KB

We consider initial boundary value problems for the Carleman equations. The theory of nonlinear accretive operators is applied to provide generalized solutions and to consider well-posedness of the system in the L'(O, 1) sense. The solutions are represented by product integrals, an abstract backward