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

Baiping Ouyang, Wei Fan and Yiwu Lin

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-7

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7480676

DOI: 10.1155/2020/7480676

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