Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions

Vandana Sharma; Jeff Morgan

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arXiv · 1504.00323

Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions

Vandana Sharma·Jeff Morgan

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Abstract

We consider a reaction-diffusion system where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on the boundary through mass transport. We establish local well-posedness and global existence of solutions for these systems using classical potential theory and linear estimates for initial boundary value problems.

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Vandana Sharma, Jeff Morgan. 2015-04-01. Global Existence of Solutions to Reaction Diffusion Systems with Mass Transport Type Boundary Conditions. https://arxiv.org/abs/1504.00323

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