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A remarkable estimate for the solutions of the Boltzmann equation - MaRDI portal

A remarkable estimate for the solutions of the Boltzmann equation (Q1195685)

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scientific article; zbMATH DE number 85876
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A remarkable estimate for the solutions of the Boltzmann equation
scientific article; zbMATH DE number 85876

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    A remarkable estimate for the solutions of the Boltzmann equation (English)
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    5 January 1993
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    The author proves a global (in time) a priori bound for a certain moment of classical solutions of the Boltzmann equation. This moment contains the collision kernel. The assumptions are that the solution is one- dimensional in space, and that the collision kernel satisfies certain cut off properties. The proof uses the collision invariants and the \(H\)- theorem.
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    moment of classical solutions
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    collision kernel
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