Microscopic renormalized energy for a pinned Ginzburg-Landau functional

DOI10.1007/s00526-014-0741-xzbMath1318.49037OpenAlexW204108518MaRDI QIDQ2347165

Mickaël Dos Santos

Publication date: 27 May 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-014-0741-x

zbMATH Keywords

minimizationGinzburg-Landau functionalrenormalized energyvorticity defectspinning termmicroscopic location

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods for elliptic systems (35J50) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (2)

Explicit expression of the microscopic renormalized energy for a pinned Ginzburg-Landau functional ⋮ Magnetic Ginzburg-Landau energy with a periodic rapidly oscillating and diluted pinning term

Cites Work

• Vortices in the magnetic Ginzburg-Landau model
• Ginzburg-Landau type energy with discontinuous constraint
• The behavior of a Ginzburg-Landau minimizer near its zeroes
• Ginzburg-Landau model with small pinning domains
• Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint
• The Ginzburg-Landau functional with a discontinuous and rapidly oscillating pinning term. Part II: the non-zero degree case
• Ginzburg-Landau vortices

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