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Γ-type estimates for the one-dimensional Allen–Cahn’s action

  • Published:2015-08-13 Issue:1-2 Volume:94 Page:161-185
  • ISSN:1875-8576
  • Container-title:Asymptotic Analysis
  • language:
  • Short-container-title:ASY

Author:

Bellettini Giovanni1,Nayam Al-Hassem2,Novaga Matteo3

Affiliation:

1. Dipartimento di Matematica, Università di Roma Tor Vergata, Roma, Italy. E-mail: belletti@mat.uniroma2.it

2. Mathematics Section, The Abdus Salam International Center of Theoretical Physics – ICTP, Trieste, Italy. E-mail: anayam@ictp.it

3. Dipartimento di Matematica, Università di Pisa, Pisa, Italy. E-mail: novaga@dm.unipi.it

Publisher

IOS Press

Subject

General Mathematics

Reference16 articles.

1. Asymptotic development by Γ-convergence;Anzellotti;Appl. Math. Optimization,1993

2. Γ-asymptotic development, the Cahn–Hilliard functional and curvatures;Anzellotti;J. Math. Anal. Appl.,1996

3. Slow motion for gradient systems with equal depth multiple-well potentials;Bethuel;J. Differ. Equations,2011

4. Molecular theory of fluid interfaces;Bongiorno;J. Colloid Interface Sci.,1976

5. Asymptotic expansion by Γ-convergence;Braides;Cont. Mech. Therm.,2008

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2. Sharp interface limit of a multi-phase transitions model under nonisothermal conditions;Calculus of Variations and Partial Differential Equations;2021-06-30

3. Periodic Motions for Multi-wells Potentials and Layers Dynamic for the Vector Allen–Cahn Equation;Journal of Dynamics and Differential Equations;2021-04-01

4. Slow motion for a hyperbolic variation of Allen–Cahn equation in one space dimension;Journal of Hyperbolic Differential Equations;2017-03

5. Slow motion for the 1D Swift–Hohenberg equation;Journal of Differential Equations;2017-01
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