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Volume 20, Issue 2
Attractors for the Brusselator in R^N

Yongqian Han & Boling Guo

J. Part. Diff. Eq., 20 (2007), pp. 169-182.

Published online: 2007-05

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  • 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.

  • Keywords

The Brusselator global attractor Turing pattern

  • AMS Subject Headings

35B40 35B41 35B45 35Q35 35K45.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-20-169, author = {Yongqian Han and Boling Guo }, title = {Attractors for the Brusselator in R^N}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {2}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5300.html} }
TY - JOUR T1 - Attractors for the Brusselator in R^N AU - Yongqian Han & Boling Guo JO - Journal of Partial Differential Equations VL - 2 SP - 169 EP - 182 PY - 2007 DA - 2007/05 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5300.html KW - The Brusselator KW - global attractor KW - Turing pattern AB -

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.

Yongqian Han and Boling Guo . (2007). Attractors for the Brusselator in R^N. Journal of Partial Differential Equations. 20 (2). 169-182. doi:
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