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LORENTZ SPACE ESTIMATES FOR THE COULOMBIAN RENORMALIZED ENERGY

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Publication:2909790
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DOI10.1142/S0219199712500277zbMath1255.35061arXiv1105.3960OpenAlexW2963024987MaRDI QIDQ2909790

Ian Tice, Sylvia Serfaty

Publication date: 6 September 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3960

zbMATH Keywords

Coulomb gasball construction


Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) A priori estimates in context of PDEs (35B45) Statistical mechanics of superconductors (82D55) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Ginzburg-Landau equations (35Q56)


Related Items

From the Ginzburg-Landau model to vortex lattice problems, 1D log gases and the renormalized energy: crystallization at vanishing temperature, Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals, 2D Coulomb gases and the renormalized energy



Cites Work

  • Unnamed Item
  • Vortices in the magnetic Ginzburg-Landau model
  • Lower bounds for the energy of unit vector fields and applications
  • Improved lower bounds for Ginzburg-Landau energies via mass displacement
  • Lorentz space estimates for the Ginzburg-Landau energy
  • Lower Bounds for Generalized Ginzburg--Landau Functionals
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