Boltzmann asymptotics with diffuse reflection boundary conditions
This paper deals with the nonlinear Boltzmann equation \((\partial_t+ \xi \cdot \nabla_x) f=Q(f,f)\), where \(Q\) is the collision operator. The collisionless case is first considered, and then strong \(L^1\)-convergence to a stationary solution when \(t\to+ \infty\) is proved in a bounded domain, with constant temperature on the boundary.
scientific article; zbMATH DE number 1019723
scientific article