Transport equations in weak topologies of dual Banach spaces
Journal Article
·
· Transport Theory and Statistical Physics; (USA)
- Department of Mathematics and Center for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State Univeristy, Blacksburg, Virginia 24061 (US)
Nonlinear transport equations are studied, in which the nonlinearity, arising from the collision operator, is well behaved in the weak topology of a weakly compactly generated Banach space. The Cauchy problem is posed for general semilinear evolution equations, which can model a variety of diffusion and kinetic equations. Local existence theorems are obtained for such spaces. In particular, the results are applicable to transport equations in {ital L}{sup {infinity}} with appropriate weak (i.e., {ital L}{sup 1}) continuity properties.
- OSTI ID:
- 5505164
- Journal Information:
- Transport Theory and Statistical Physics; (USA), Journal Name: Transport Theory and Statistical Physics; (USA) Vol. 18:1; ISSN TTSPB; ISSN 0041-1450
- Country of Publication:
- United States
- Language:
- English
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