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Deriving amplitude equations via evolutionary $\Gamma$-convergence

  • Published:2015 Issue:6 Volume:35 Page:2679-2700
  • ISSN:1553-5231
  • Container-title:Discrete & Continuous Dynamical Systems - A
  • language:en
  • Short-container-title:

Author:

Mielke Alexander,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference26 articles.

1. Gradient Flows in Metric Spaces and in the Space of Probability Measures,;L. Ambrosio;Lectures in Mathematics ETH Zürich,2005

2. Solutions intégrales d'équations d'évolution dans un espace de Banach,;P. Bénilan;C. R. Acad. Sci. Paris Sér. A-B,1972

3. Opérateurs Maximaux Monotones et Semi-groupes de Contractions Dans les Espaces de Hilbert,;H. Brézis;North-Holland Publishing Co.,1973

4. The time dependent amplitude equation for the Swift-Hohenberg problem,;P. Collet;Comm. Math. Phys.,1990

5. An Introduction to $\Gamma$-Convergence,;G. Dal Maso;Birkhäuser Boston Inc.,1993

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2. Stochastic homogenization of \Lambda -convex gradient flows;Discrete & Continuous Dynamical Systems - S;2021

3. Validity of amplitude equations for nonlocal nonlinearities;Journal of Mathematical Physics;2018-07

4. Local control of globally competing patterns in coupled Swift–Hohenberg equations;Chaos: An Interdisciplinary Journal of Nonlinear Science;2018-04

5. Homogenization of Cahn–Hilliard-type equations via evolutionary $$\varvec{\Gamma }$$ Γ -convergence;Nonlinear Differential Equations and Applications NoDEA;2018-01-29
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