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On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models

✍ Scribed by A. V. Bobylev; C. Cercignani; I. M. Gamba


Book ID
105903460
Publisher
Springer
Year
2009
Tongue
English
Weight
578 KB
Volume
291
Category
Article
ISSN
0010-3616

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πŸ“œ SIMILAR VOLUMES


The asymptotic self-similar behavior for
✍ Zhiwen Duan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 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+Ξ±-2) u((Tt) (p-1)/(2p+Ξ±-2) y, t), behaves as t β†’ T like a nontrivial self