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2009•Abstract and Applied AnalysisOpen access

A Two‐Dimensional Landau‐Lifshitz Model in Studying Thin Film Micromagnetics

Jingna Li

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Abstract

The paper is concerned with a two‐dimensional Landau‐Lifshitz equation which was first raised by A. DeSimone and F. Otto, and so fourth, when studying thin film micromagnetics. We get the existence of a local weak solution by approximating it with a higher‐order equation. Penalty approximation and semigroup theory are employed to deal with the higher‐order equation.

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What this paper is about

The paper is concerned with a two‐dimensional Landau‐Lifshitz equation which was first raised by A. DeSimone and F. Otto, and so fourth, when studying thin film micromagnetics. We get the existence of a local weak solution by approximating it with a higher‐order equation. Penalty approximation and semigroup theory are employed to deal with the higher‐order equation.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The paper is concerned with a two‐dimensional Landau‐Lifshitz equation which was first raised by A. DeSimone and F. Otto, and so fourth, when studying thin film micromagnetics. We get the existence of a local weak solution by approximating it with a higher‐order equation. Penalty approximation and semigroup theory are employed to deal with the higher‐order equation.

Key concepts: Micromagnetics, Landau–Lifshitz–Gilbert equation, Mathematics, Order (exchange), Semigroup, Mathematical physics, Statistical physics, Mathematical analysis

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