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Initial-boundary value problems in irregular domains for nonlinear kinetic equations of Boltzmann type.

Alexey Heintz (Institutionen för matematik, Matematik/Tillämpad matematik) ; Leif Arkeryd (Institutionen för matematik)
Transport theory and statistical physics (0041-1450). Vol. 28 (1999), 2, p. 105–134..
[Artikel, refereegranskad vetenskaplig]

Geometric properties of domain boundaries and properties of the reflection operator for well-posedness of boundary value problems and existence results for kinetic equations in the case of irregular domains are investigated. The results guarantee global solvability in L 1 of boundary value problems for the nonlinear Povzner kinetic equation in domains with finite Hausdorff measure of the boundary and a cone condition.

Nyckelord: Boltzmann equatio, irregular boundaries



Denna post skapades 2015-07-06.
CPL Pubid: 219448

 

Institutioner (Chalmers)

Institutionen för matematik, Matematik/Tillämpad matematik (1987-2001)
Institutionen för matematik (1987-2001)

Ämnesområden

Matematisk analys

Chalmers infrastruktur