\(\Gamma\)-convergence and the emergence of vortices for Ginzburg-Landau on thin shells and manifolds
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Publication:982224
DOI10.1007/s00526-009-0285-7zbMath1193.49053OpenAlexW2006193696MaRDI QIDQ982224
Andres Contreras, Peter Sternberg
Publication date: 6 July 2010
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-009-0285-7
Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05) Ginzburg-Landau equations (35Q56)
Related Items (14)
Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds ⋮ Dynamics of Ginzburg-Landau and Gross-Pitaevskii vortices on manifolds ⋮ Dimension reduction for the Landau-de Gennes model on curved nematic thin films ⋮ LOCAL MINIMIZERS WITH VORTEX PINNING FOR A GINZBURG–LANDAU FUNCTIONAL FOR SUPERCONDUCTING HOLLOW SPHERES ⋮ Dimension reduction for the Landau-de Gennes model in planar nematic thin films ⋮ Vortex density models for superconductivity and superfluidity ⋮ The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase ⋮ The generalized point-vortex problem and rotating solutions to the Gross-Pitaevskii equation on surfaces of revolution ⋮ The Ground State Energy of the Three Dimensional Ginzburg-Landau Functional Part I: Bulk Regime ⋮ On the first critical field in Ginzburg-Landau theory for thin shells and manifolds ⋮ Defects in nematic shells: a \(\Gamma\)-convergence discrete-to-continuum approach ⋮ First Critical Field of Highly Anisotropic Three-Dimensional Superconductors via a Vortex Density Model ⋮ Dimension reduction for functionals on solenoidal vector fields ⋮ Rotating 2N-vortex solutions to the Gross-Pitaevskii equation on S2
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