Attractors for the Brusselator in R^N

Attractors for the Brusselator in R^N

Year:    2007

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 2 : pp. 169–182

Abstract

We consider the reaction-diffusion system, a model of a certain chemical morphogenetic process and named Brusselator. For the Cauchy problem of this system with nondecaying initial data, the existence and uniqueness of the global solution is established. Moreover, it is proved that this system possesses a global attractor A in the corresponding phase space.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JPDE-5300

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 2 : pp. 169–182

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    The Brusselator