Lower bound for the blow-up time for the nonlinear reaction-diffusion system in high dimensions (Q782121)
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scientific article; zbMATH DE number 7224163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bound for the blow-up time for the nonlinear reaction-diffusion system in high dimensions |
scientific article; zbMATH DE number 7224163 |
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Lower bound for the blow-up time for the nonlinear reaction-diffusion system in high dimensions (English)
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22 July 2020
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Summary: 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.
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