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• W1998811894 abstract "We present the global existence and stability of mild solutions to the Boltzmann system with inverse power molecular interactions for a binary gas mixture, when initial data are sufficiently small and decay exponentially in phase space. For the existence and stability of mild solutions, we employ a modified Kaniel-Shinbrot’s scheme and a weighted nonlinear functional approach. Time-asymptotic convergence toward the free molecular motion is established using a weighted collision potential, and we show that the weighted <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L Superscript 1> <mml:semantics> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>1</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>L^1</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-distance between two mild solutions is uniformly controlled by that of initial data." @default.
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• W1998811894 date "2007-08-28" @default.
• W1998811894 modified "2023-10-16" @default.
• W1998811894 title "Global existence and stability of mild solutions to the Boltzmann system for gas mixtures" @default.
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• W1998811894 doi "https://doi.org/10.1090/s0033-569x-07-01068-6" @default.
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