arxiv: 1504.00323 · v2 · pith:ELA3ZPBBnew · submitted 2015-04-01 · 🧮 math.AP

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

Vandana Sharma , Jeff Morgan This is my paper

classification 🧮 math.AP

keywords boundarycomponentsdiffuseexistenceglobalmassreactsolutions

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

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