Finite-dimensional reduction of systems of nonlinear diffusion equations

DOI10.1134/S0001434623010297MaRDI QIDQ2690985

Yanyan Li

Publication date: 17 March 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00499

zbMATH Keywords

nonlinear parabolic equationsinertial manifoldfinite-dimensional dynamics on attractor

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Cites Work

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• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Final dynamics of systems of nonlinear parabolic equations on the circle
• Frequency theorem for parabolic equations and its relation to inertial manifolds theory
• A parabolic equation with nonlocal diffusion without a smooth inertial manifold
• Inertial manifolds for 1D reaction-diffusion-advection systems. Part I: Dirichlet and Neumann boundary conditions
• Inertial manifolds for 1D reaction-diffusion-advection systems. II: Periodic boundary conditions
• Finite-dimensional limiting dynamics for dissipative parabolic equations
• Finite-dimensional dynamics on attractors of non-linear parabolic equations
• Inertial manifolds and finite-dimensional reduction for dissipative PDEs
• Families of stable manifolds of invariant sets of systems of parabolic equations

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