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Inertial Manifolds for 1D Convective Reaction-Diffusion Systems

Kostianko, A and Zelik, S (2016) Inertial Manifolds for 1D Convective Reaction-Diffusion Systems arXiv.

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Abstract

An inertial manifold for the system of 1D reaction-diffusion-advection equations endowed by the Dirichlet boundary conditions is constructed. Although this problem does not initially possess the spectral gap property, it is shown that this property is satisfied after the proper non-local change of the dependent variable.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Kostianko, AUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 31 January 2016
Copyright Disclaimer : This is an arXiv version of the paper.
Uncontrolled Keywords : math.AP, math.AP, 35B40, 35B45
Related URLs :
Additional Information : This is an arXiv version of the paper. arXiv:1602.00301 [math.AP]
Depositing User : Symplectic Elements
Date Deposited : 24 Feb 2016 10:12
Last Modified : 24 Feb 2016 10:12
URI: http://epubs.surrey.ac.uk/id/eprint/809933

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