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

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  • Zhoujin Cui
  • Zuodong Yang

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.

Suggested Citation

  • Zhoujin Cui & Zuodong Yang, 2007. "Uniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources," International Journal of Differential Equations, Hindawi, vol. 2007, pages 1-16, February.
    • Handle: RePEc:hin:jnijde:087696
    DOI: 10.1155/2007/87696
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