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Inertial Manifolds for 1D Convective Reaction-Diffusion Systems

Research paper by Anna Kostianko, Sergey Zelik

Indexed on: 31 Jan '16Published on: 31 Jan '16Published in: Mathematics - Analysis of PDEs



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.