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

Vandana Sharma; Jyotshana V. Prajapat

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arXiv · 2102.00165

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

Vandana Sharma·Jyotshana V. Prajapat

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Abstract

We consider reaction-diffusion systems where components diffuse inside the domain and react on the surface through mass transport type boundary conditions on an evolving domain. Using Lyapunov functional and duality arguments, we establish the existence of component-wise non-negative global solutions.

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Vandana Sharma, Jyotshana V. Prajapat. 2021-01-30. Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions on an Evolving Domain. https://arxiv.org/abs/2102.00165

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