Nesting inertial manifolds for reaction and diffusion equations with large diffusivity

DOI10.1016/J.NA.2006.05.017zbMath1119.35008OpenAlexW2114329171MaRDI QIDQ880285

Robert Willie, Aníbal Rodgriguez-Bernal

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.05.017

zbMATH Keywords

well posednessinertial manifoldslarge diffusivitylimit inertial manifoldsemilinear system of reaction-diffusion equationsuniversal compact attractor

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Reaction-diffusion equations (35K57) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Inertial manifolds (35B42) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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