On the stability of static domain wall profiles in ferromagnetic thin film

  • Sharad DwivediEmail author
  • Shruti Dubey


In this article, we consider a two-dimensional model of ferromagnetic material. Our prime goal is to analyze the stability of static domain wall configuration calculated by Walker. The dynamics of magnetization inside the material is governed by the Landau–Lifschitz equation which is nonlinear and parabolic in nature. We prove the stability of the static waves solutions for the Landau–Lifschitz equation with a simplified expression of the stray field which is not unique in general, because of the non-convexity constraint \(|u|=1\).


Landau–Lifschitz equation Micromagnetics Domain walls Stability 

Mathematics Subject Classification

Primary 35B35 34D05 35Q60 Secondary 35K55 


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© SpringerNature 2018

Authors and Affiliations

  1. 1.SRM Research Institute and Department of MathematicsSRM Institute of Science and TechnologyChennaiIndia
  2. 2.Department of MathematicsIndian Institute of Technology MadrasChennaiIndia

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