Nonlinear Boltzmann equation with partially absorbing boundary conditions. Global existence and uniqueness results
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
The method applied by Bellomo and Toscani (J. Math. Phys. 26, 334 (1985)) for the Boltzmann equation in an infinite medium to establish global results for bounded media with partially absorbing boundary conditions is generalized. The method does not require that the equilibrium solution be the vacuum state and, accordingly, does not rely on positivity/monotonicity arguments. The growth produced by the nonlinearity is compensated by the combined effect of streaming and (partial) absorption (leakage) at the boundary.
- Research Organization:
- Dipartimento di Matematica, Universita-grave-accent di Ferrara, 44100 Ferrara, Italy
- OSTI ID:
- 6680356
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:5; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUIDS
GASES
GEOMETRY
KINETIC EQUATIONS
MATHEMATICS
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
ORNL
PARTIAL DIFFERENTIAL EQUATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOLTZMANN EQUATION
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUIDS
GASES
GEOMETRY
KINETIC EQUATIONS
MATHEMATICS
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
ORNL
PARTIAL DIFFERENTIAL EQUATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS