Deriving amplitude equations via evolutionary \(\Gamma\)-convergence

DOI10.3934/dcds.2015.35.2679zbMath1332.35347OpenAlexW2320765019WikidataQ59901722 ScholiaQ59901722MaRDI QIDQ255643

Alexander Mielke

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2015.35.2679

zbMATH Keywords

Ginzburg-Landau equationSwift-Hohenberg equationevolutionary variational inequalitygamma convergencegradient systems

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear parabolic equations (35K55) Nonlinear effects in hydrodynamic stability (76E30) Ginzburg-Landau equations (35Q56)

Related Items (7)

Local control of globally competing patterns in coupled Swift–Hohenberg equations ⋮ Validity of amplitude equations for nonlocal nonlinearities ⋮ Homogenization of Cahn-Hilliard-type equations via evolutionary \(\Gamma\)-convergence ⋮ On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion ⋮ Spectrum and amplitude equations for scalar delay-differential equations with large delay ⋮ Structural Compactness and Stability of Semi-Monotone Flows ⋮ Stochastic homogenization of \(\Lambda\)-convex gradient flows

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