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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 36
  3. Calculus of Variations and Partial Differential Equations : Volume 36, Issue 2, October 2009
  4. A Γ-convergence result for Néel walls in micromagnetics
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Calculus of Variations and Partial Differential Equations : Volume 56
Calculus of Variations and Partial Differential Equations : Volume 55
Calculus of Variations and Partial Differential Equations : Volume 54
Calculus of Variations and Partial Differential Equations : Volume 53
Calculus of Variations and Partial Differential Equations : Volume 52
Calculus of Variations and Partial Differential Equations : Volume 51
Calculus of Variations and Partial Differential Equations : Volume 50
Calculus of Variations and Partial Differential Equations : Volume 49
Calculus of Variations and Partial Differential Equations : Volume 48
Calculus of Variations and Partial Differential Equations : Volume 47
Calculus of Variations and Partial Differential Equations : Volume 46
Calculus of Variations and Partial Differential Equations : Volume 45
Calculus of Variations and Partial Differential Equations : Volume 44
Calculus of Variations and Partial Differential Equations : Volume 43
Calculus of Variations and Partial Differential Equations : Volume 42
Calculus of Variations and Partial Differential Equations : Volume 41
Calculus of Variations and Partial Differential Equations : Volume 40
Calculus of Variations and Partial Differential Equations : Volume 39
Calculus of Variations and Partial Differential Equations : Volume 38
Calculus of Variations and Partial Differential Equations : Volume 37
Calculus of Variations and Partial Differential Equations : Volume 36
Calculus of Variations and Partial Differential Equations : Volume 36, Issue 4, December 2009
Calculus of Variations and Partial Differential Equations : Volume 36, Issue 3, November 2009
Calculus of Variations and Partial Differential Equations : Volume 36, Issue 2, October 2009
On the volume functional of compact manifolds with boundary with constant scalar curvature
Gamma convergence of an energy functional related to the fractional Laplacian
Finsler interpolation inequalities
On the equation $${{\rm det}\,\nabla{u}=f}$$ with no sign hypothesis
A Γ-convergence result for Néel walls in micromagnetics
Calculus of Variations and Partial Differential Equations : Volume 36, Issue 1, September 2009
Calculus of Variations and Partial Differential Equations : Volume 35
Calculus of Variations and Partial Differential Equations : Volume 34
Calculus of Variations and Partial Differential Equations : Volume 33
Calculus of Variations and Partial Differential Equations : Volume 32
Calculus of Variations and Partial Differential Equations : Volume 31
Calculus of Variations and Partial Differential Equations : Volume 30
Calculus of Variations and Partial Differential Equations : Volume 29
Calculus of Variations and Partial Differential Equations : Volume 28
Calculus of Variations and Partial Differential Equations : Volume 27
Calculus of Variations and Partial Differential Equations : Volume 26
Calculus of Variations and Partial Differential Equations : Volume 25
Calculus of Variations and Partial Differential Equations : Volume 24
Calculus of Variations and Partial Differential Equations : Volume 23
Calculus of Variations and Partial Differential Equations : Volume 22
Calculus of Variations and Partial Differential Equations : Volume 21
Calculus of Variations and Partial Differential Equations : Volume 20
Calculus of Variations and Partial Differential Equations : Volume 19
Calculus of Variations and Partial Differential Equations : Volume 18
Calculus of Variations and Partial Differential Equations : Volume 17
Calculus of Variations and Partial Differential Equations : Volume 16
Calculus of Variations and Partial Differential Equations : Volume 15
Calculus of Variations and Partial Differential Equations : Volume 14
Calculus of Variations and Partial Differential Equations : Volume 13
Calculus of Variations and Partial Differential Equations : Volume 12
Calculus of Variations and Partial Differential Equations : Volume 11
Calculus of Variations and Partial Differential Equations : Volume 10
Calculus of Variations and Partial Differential Equations : Volume 9
Calculus of Variations and Partial Differential Equations : Volume 8
Calculus of Variations and Partial Differential Equations : Volume 7
Calculus of Variations and Partial Differential Equations : Volume 6
Calculus of Variations and Partial Differential Equations : Volume 5

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A Γ-convergence result for Néel walls in micromagnetics

Content Provider SpringerLink
Author Ignat, Radu
Copyright Year 2009
Abstract Three reduced models are considered for Néel walls which are dominant transition layers in thin-film micromagnetics. Each model comes as a nonlocal and nonconvex variational principle for one-dimensional magnetizations and it depends on a small parameter ε > 0. Our aim is to study the Γ-convergence of these models as $${\varepsilon \downarrow 0}$$ . We prove that the limiting magnetization patterns are piecewise constant functions that correspond to a finite number of walls of the same angle. The Γ-limit energy is proportional to the number of walls of these configurations and the energetic cost of each wall is quartic for small wall angles.
Ending Page 316
Page Count 32
Starting Page 285
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 2
Volume Number 36
Language English
Publisher Springer-Verlag
Publisher Date 2009-03-17
Publisher Place Berlin, Heidelberg
Access Restriction Subscribed
Subject Keyword Methods involving semicontinuity and convergence; relaxation Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Theoretical, Mathematical and Computational Physics Analysis Singular perturbations Electro- and magnetostatics Magnetic materials Variational principles of physics
Content Type Text
Resource Type Article
Subject Analysis Applied Mathematics
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