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2007 Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources
Zhoujin Cui, Zuodong Yang
Differ. Equ. Nonlinear Mech. 2007: 1-16 (2007). DOI: 10.1155/2007/87696

Abstract

This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the domain, the blow-up rate of |u(t)| is precisely determined.

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Zhoujin Cui. Zuodong Yang. "Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources." Differ. Equ. Nonlinear Mech. 2007 1 - 16, 2007. https://doi.org/10.1155/2007/87696

Information

Received: 13 April 2006; Revised: 27 November 2006; Accepted: 19 December 2006; Published: 2007
First available in Project Euclid: 26 January 2017

zbMATH: 1137.35392
MathSciNet: MR2284069
Digital Object Identifier: 10.1155/2007/87696

Rights: Copyright © 2007 Hindawi

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