Global Existence of Solutions to Reaction Diffusion Systems with Mass\n Transport Type Boundary Conditions on an Evolving Domain

2021/01/30 by Vandana Sharma, Jyotshana V. Prajapat, Sharma, Vandana +1
Computer Science · Engineering · Mathematics · #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.2102.00165

openalex publication_date 2021/01/30 · openalex created_date 2022/07/25 · 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 conditions\non an evolving domain. Using Lyapunov functional and duality arguments, we\nestablish the existence of component-wise non-negative global solutions.\n

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