Stationary states of a gas in a radiation field from a kinetic point of view
Anne Nouri (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “ solutions to the stationary Boltzmann equation in a slab”
Stationary states of a gas in a radiation field from a kinetic point of view
On the interior boundary-value problem for the stationary Povzner equation with hard and soft interactions
Vladislav A. Panferov (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Povzner equation is a version of the nonlinear Boltzmann equation, in which the collision operator is mollified in the space variable. The existence of stationary solutions in is established for a class of stationary boundary-value problems in bounded domains with smooth boundaries, without convexity assumptions. The results are obtained for a general type of collision kernels with angular cutoff. Boundary conditions of the diffuse reflection type, as well as the given incoming...
The stationary Boltzmann equation in with given indata
Leif Arkeryd, Anne Nouri (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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An -existence theorem is proved for the nonlinear stationary Boltzmann equation for soft and hard forces in with given indata on the boundary, when the collision operator is truncated for small velocities.
Recent results on the Boltzmann equation
Carlo Cercignani (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In the last few years the theory of the nonlinear Boltzmann equation has witnessed a veritable turrent of contributions, spurred by the basic result of DiPerna and Lions. Here we wish to survey these results with particular attention to some recent developments.
The stationary Boltzmann equation in the slab with given weighted mass for hard and soft forces
Leif Arkeryd, Anne Nouri (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Boltzmann-Enskog equation with large data; wellposedness and regularity
Leif Arkeryd (1989)
Journées équations aux dérivées partielles
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On stationary kinetic systems of Boltzmann type and their fluid limits
Leif Arkeryd (2004)
Banach Center Publications
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The first part reviews some recent ideas and L¹-existence results for non-linear stationary equations of Boltzmann type in a bounded domain in ℝⁿ and far from global Maxwellian equilibrium. That is an area not covered by the DiPerna and P. L. Lions methods for the time-dependent Boltzmann equation from the late 1980-ies. The final part discusses the more classical perturbative case close to global equilibrium and corresponding small mean free path limits of fully non-linear stationary...