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Property of Lyapunov Functions for Gas Mixture
Author(s): 
Pages: 257-262
Year: Issue:  3
Journal: ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS NEIMONGOL

Keyword:  Lyapunov functionpseudomoleculeBoltzmann equation;
Abstract: The property of Lyapunov functions in time along the solutions of the Boltzmann equation for Maxwellian pseudomolecules was obtained with a method by Toscani and Bobylev. This property will be extended to a more general situation. Namely, inequality F((aλ3/a3f1(λ/ac1))*(1/b3f2(1/bc2)))<F(f1(c1)),will be introduced for binary gases of Maxwellian pseudomolecules. And this inequality is valid for plane velocities and for axially symmetric solution in any dimension.
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