Global Existence and Uniform Estimates of Solution to Reaction Diffusion\n Systems with Mass Transport Type Boundary Conditions

2020/05/03 by Vandana Sharma, Sharma, Vandana
Computer Science · Engineering · Mathematics · #35B45 #35K57 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2005.01046

openalex publication_date 2020/05/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We consider reaction diffusion systems where components diffuse inside the\ndomain and react on the surface through mass transport type boundary\nconditions. Under reasonable hypotheses, we establish the existence of\ncomponent wise non-negative global solutions which are uniformly bounded in the\nsup norm.\n

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