Inertial Manifolds via Spatial Averaging Revisited

DOI10.1137/20M1375437zbMath1481.35079arXiv2006.15663OpenAlexW4206097688MaRDI QIDQ5020863

Xinhua Li, Chunyou Sun, Anna Kostianko, Serguei Zelik

Publication date: 7 January 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15663

zbMATH Keywords

Cahn-Hilliard equationreaction-diffusion equationinertial manifoldsspatial averagingLeray-\(\alpha\) modelhyperviscous Navier-Stokes equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Critical exponents in context of PDEs (35B33) Navier-Stokes equations (35Q30) Dynamical systems approach to turbulence (76F20) Inertial manifolds (35B42) Semilinear parabolic equations (35K58)

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