Article Contents
Article Contents

# Fast reaction limit and long time behavior for a competition-diffusion system with Dirichlet boundary conditions

• We consider a two-component competition-diffusion system with equal diffusion coefficients and inhomogeneous Dirichlet boundary conditions. Provided certain conditions on a limit problem hold and provided that the competition rate is sufficiently large, all non-negative solutions of the system converge to a stationary solution of the system as $t \rightarrow \infty$.
Mathematics Subject Classification: 35K50, 35B40, 35K57, 92D25.

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