On the global existence of a cross-diffusion system

Yuan Lou; Wei-Ming Ni; Yaping Wu

doi:10.3934/dcds.1998.4.193

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1998, Volume 4, Issue 2: 193-203. Doi: 10.3934/dcds.1998.4.193

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On the global existence of a cross-diffusion system

1.
Department of Mathematics, University of Chicago, Chicago, Illinois 60637
2.
School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
3.
Institute of Applied Physics and, Computational Mathematics, P.O. Box 8009, Beijing 100088

Received: May 1997

Published: April 1998

Abstract / Introduction Related Papers Cited by

Abstract

We consider a strongly-coupled nonlinear parabolic system which arises from population dynamics. The global existence of classical solutions is established when the space dimension is two and one of the cross-diffusion pressures is zero.

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Mathematics Subject Classification: 35K57.

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