非局部源扩散系统解的一致爆破率和渐近估计

Differential Equations and Nonlinear Mechanics Pub Date : 2007-02-13 DOI:10.1155/2007/87696

Zhoujin Cui, Zuodong Yang

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引用次数: 2

摘要

研究了具有非局域反应源的扩散方程的非负解的局部存在性以及解和边界层轮廓的有限时间爆破性;我们还研究了区域的整体存在性和在所有紧子集上的爆破率是一致的，精确地确定了|∞u(t)|∞的爆破率。

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

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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Differential Equations and Nonlinear Mechanics

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审稿时长

20 weeks