The Blow up Rate Estimates for a Reaction Diffusion System with Gradient Terms

2012/11/27 by Maan A. Rasheed, Rasheed, Maan A., Miroslav Chlebík +2
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1211.6500

11 pages

openalex publication_date 2012/11/27 · arxiv created 2012/11/28 · arxiv updated 2012/11/29 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We concider, the blow-up solutions for a coupled reaction diffusion system with gradient terms. The main purpose is to understand whether the gradient terms effect the blow-up properties. We derive the upper and lower blow-up rate estimates under certain assumptions.

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