Abstract
For Ω an open set of ℝ3 bounded or not, we consider initial-boundary value problems for the Boltzmann equation. For general gas-surface interaction laws and for hard potentials, we prove a global existence result for weak solutions. The proof uses the regularization of the collision operator and the renormalization method for the regularized problem. By using weak compactness in L1 and averaged stability ofQ(f,f), we prove the existence of weak solutions of our problem.
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Communicated by C. M.Dafermos
Dedicated to the Memory of Ronald DiPerna
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Hamdache, K. Initial-Boundary value problems for the Boltzmann equation: Global existence of weak solutions. Arch. Rational Mech. Anal. 119, 309–353 (1992). https://doi.org/10.1007/BF01837113
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DOI: https://doi.org/10.1007/BF01837113