Local existence and uniqueness of regular solutions to a Landau-Lifshitz-Bloch equation with applied current

• Autorzy: Ayouch Chahid , Tilioua Mouhcine

Identyfikatory

DOI

10.1515/jaa-2022-2003

• Języki publikacji: EN

Abstrakty

EN

We prove via a Galerkin approximation the time local existence of regular solutions to a Landau-Lifshitz-Bloch equation with applied current in a bounded domain. The uniqueness of the solution is also established. Moreover, we show the global in time existence of a regular solution in dimension two.

Słowa kluczowe

EN

Landau-Lifshitz-Bloch equation; spin-transfer torque; regular solution; uniqueness

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 1
• Strony: 113--122
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Ayouch Chahid

• Laboratory LAMAI, Department of Mathematics, Faculty of Sciences and Technologies, Cadi Ayyad University, Marrakesh, Morocco

• https://orcid.org/0000-0001-7927-5928

autor

Tilioua Mouhcine

• Department of Mathematics, MAIS Laboratory, MAMCS Group, FST Errachidia, Moulay Ismaïl University of Meknès, Errachidia, Morocco

• https://orcid.org/0000-0003-1983-9669

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).