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Article Contents

# Relative compactness in $L^p$ of solutions of some 2m components competition-diffusion systems

• We consider a class of $2m$ components competition-diffusion systems which involve $m$ parabolic equations as well as $m$ ordinary differential equation, and prove the strong convergence in $L^p$ of a subsequence of each component as the reaction coefficient tends to infinity. In the special case of $4$ components the solution of this system converges to that of a Stefan problem.
Mathematics Subject Classification: Primary: 35K40, 35K57, 35R35; Secondary: 35B40.

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