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Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions

โœ Scribed by A. V. Bobylev; C. Cercignani


Book ID
110403078
Publisher
Springer
Year
2003
Tongue
English
Weight
231 KB
Volume
110
Category
Article
ISSN
0022-4715

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The asymptotic self-similar behavior for
โœ Zhiwen Duan ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 877 KB

In this paper the quasilinear heat equation with the nonlinear boundary condition is studied. The blow-up rate and existence of a self-similar solution are obtained. It is proved that the rescaled function v(y, t) = (Tt) 1/(2p+ฮฑ-2) u((Tt) (p-1)/(2p+ฮฑ-2) y, t), behaves as t โ†’ T like a nontrivial self