Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources

Zhoujin Cui and Zuodong Yang

International Journal of Differential Equations, 2007, vol. 2007, 1-16

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:087696

DOI: 10.1155/2007/87696

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