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Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions

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  • Baiping Ouyang
  • Wei Fan
  • Yiwu Lin

Abstract

In this paper, we study the blow-up phenomenon for a nonlinear reaction-diffusion system with time-dependent coefficients under nonlinear boundary conditions. Using the technique of a first-order differential inequality and the Sobolev inequalities, we can get the energy expression which satisfies the differential inequality. The lower bound for the blow-up time could be obtained if blow-up does really occur in high dimensions.

Suggested Citation

  • Baiping Ouyang & Wei Fan & Yiwu Lin, 2020. "Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-7, June.
    • Handle: RePEc:hin:jnddns:7480676
    DOI: 10.1155/2020/7480676
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