Ferromagnets with biquadratic exchange coupling energy. Global existence of weak solutions

DOI10.1002/mma.620zbMath1071.82060OpenAlexW2038817910MaRDI QIDQ5462398

Djamila Hamroun, Kamel Hamdache

Publication date: 1 August 2005

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.620

zbMATH Keywords

weak solutionsexistence theoremmagnetizationsmall parametersLandau-Lifshitz-Gilbert equationsexchange coupling energyferromagnetic layers

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) Nonlinear evolution equations (47J35) Statistical mechanics of magnetic materials (82D40)

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