Global existence for coupled reaction-diffusion equations with a balance law and nonlinearities with non-constant sign

2022/12/11 by Saïd Kouachi, Kouachi, Said
Engineering · Mathematics · Medicine · #35K45 #35K45 (secondary) #35K57 (primary) #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #G.0 #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2212.05623

openalex publication_date 2022/12/11 · openalex created_date 2022/12/26 · openalex updated_date 2026/07/28

Abstract

This paper aims to prove the global existence of solutions for coupled reaction diffusion equations with a balance Law and nonlinearities with a non constant sign. The case when one (or both) of the components of the solution is not a priori bounded is treated. Proofs are based on developed Lyapunov techniques.

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