Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions. (5th June 2020)

• Record Type: Journal Article
• Authors: Ouyang, Baiping; Fan, Wei; Lin, Yiwu
• Other Names: Luca Rodica Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2020(2020)
• Publication Date: 2020-06-05
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2020/7480676
• Languages: English
• ISSNs: 1026-0226

Abstract

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.