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Approximate biflow solutions of the kinetic Bryan-Pidduck equation. (English) Zbl 0962.76084
Summary: We obtain some explicit approximate solutions for the nonlinear Bryan-Pidduck equation (that is the Boltzmann equation for the model of rough spheres). The solutions have a form of spatially nonhomogeneous linear combination of two global Maxwellians with zero mass angular velocities, but arbitrary mass linear velocities. We also find low-temperature asymptotics of uniform-integral and pure integral errors for Bryan-Pidduck equation. Sufficient conditions for the infinitesimality of these errors are obtained, which are based on some assumptions imposed on coefficient functions and parameters of distribution.

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
82B40 Kinetic theory of gases in equilibrium statistical mechanics
45K05 Integro-partial differential equations
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