Dung Le, Linh Viet Nguyen, & Toan Trong Nguyen
Abstract:
We investigate the existence of a global attractor for a
class of triangular cross diffusion systems in domains of any
dimension. These systems includes the Shigesada-Kawasaki-Teramoto
(SKT) model, which arises in population dynamics and has been
studied in two dimensional domains. Our results apply to the
(SKT) system when the dimension of the domain is at most 5.
Submitted June 15, 2003. Published June 27, 2003.
Math Subject Classifications: 35K57, 35B65.
Key Words: Cross diffusion systems, global attractors.
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Dung Le Department of Applied Mathematics University of Texas at San Antonio 6900 North Loop 1604 West San Antonio, TX 78249, USA email: dle@math.utsa.edu |
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| Linh Viet Nguyen Department of Mathematics National University of Saigon Hochiminh city, Vietnam | |
| Toan Trong Nguyen Department of Mathematics National University of Saigon Hochiminh city, Vietnam email: nttoan@math.hcmc.edu |
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