Final dynamics of systems of nonlinear parabolic equations on the circle

Final dynamics of systems of nonlinear parabolic equations on the circle

We consider the class of dissipative reaction-diffusion-convection systems on the circle and obtain conditions under which the final (at large times) phase dynamics of a system can be described by an ODE with Lipschitz vector field in R<sup>N</sup>. Precisely in this class, the first exa...

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Bibliographic Details
Main Author: Aleksandr V. Romanov
Format: Article
Language:English
Published: AIMS Press 2021-09-01
Series:AIMS Mathematics
Subjects:
reaction-diffusion-convection equations
finite-dimensional dynamics on attractor
inertial manifold
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021776?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2021776?viewType=HTML

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