Perturbed minimizing movements of families of functionals

DOI10.3934/dcdss.2020324OpenAlexW3017130163MaRDI QIDQ1995421

Andrea Braides, Antonio Tribuzio

Publication date: 23 February 2021

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

Full work available at URL: https://arxiv.org/abs/1910.03260

zbMATH Keywords

homogenizationperturbations\(\Gamma\)-convergencegradient flowsvariational evolution

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract parabolic equations (35K90) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Nonlinear evolution equations (47J35)

Related Items (3)

Beyond the classical Cauchy-Born rule ⋮ A singular limit of a family of variational evolutions for a brittle elastic bi-layer ⋮ The variational approach to \(s\)-fractional heat flows and the limit cases \(s \rightarrow 0^+\) and \(s \rightarrow 1^-\)

Cites Work

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• Curvature-Driven Flows: A Variational Approach
• Minimizing movements for oscillating energies: the critical regime
• Γ-convergence and relaxations for gradient flows in metric spaces: a minimizing movement approach
• A gradient system with a wiggly energy and relaxed EDP-convergence
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