The Boltzmann equation with specular boundary condition in convex domains

Abstract

We establish the global-wellposedness and stability of the Boltzmann equation with the specular reflection boundary condition in general smooth convex domains when an initial datum is close to the Maxwellian with or without a small external potential. In particular, we have completely solved the long standing open problem after an announcement of [20] in 1977.

accepted in Comm. Pure Appl. Math

References in corpus (1)

• Asymptotic Stability of the Boltzmann Equation with Maxwell Boundary Conditions

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