𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic behavior of a nonlinear Kirchhoff type equation with spring boundary conditions

✍ Scribed by Daewook Kim; Il Hyo Jung


Book ID
113512004
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
485 KB
Volume
62
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.


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