Singular perturbation models in phase transitions for second-order materials

DOI10.1512/iumj.2011.60.4346zbMath1255.49022OpenAlexW2068826680WikidataQ61442424 ScholiaQ61442424MaRDI QIDQ2898360

Giovanni Leoni, Milena Chermisi, Gianni Dal Maso, Irene Fonseca

Publication date: 11 July 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/74269f1d1d0040ab0ff3048608137eb32f00587d

zbMATH Keywords

singular perturbationpattern formation\(\Gamma\)-convergencehigher-order derivativesinterpolation inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Variational principles of physics (49S05) Ginzburg-Landau equations (35Q56)

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