Stability of Abrikosov lattices under gauge-periodic perturbations

DOI10.1088/0951-7715/25/4/1187zbMath1236.35181arXiv1110.5988OpenAlexW2028897705MaRDI QIDQ2882664

Tim Tzaneteas, Israel Michael Sigal

Publication date: 7 May 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5988

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Ginzburg-Landau equations (35Q56)

Related Items (6)

Irreducible Ginzburg-Landau fields in dimension 2 ⋮ Multi-vortex non-radial solutions to the magnetic Ginzburg-Landau equations ⋮ Ginzburg-Landau equations on non-compact Riemann surfaces ⋮ Abrikosov vortex lattices at weak magnetic fields ⋮ Logarithmic expansions and the stability of periodic patterns of localized spots for reaction-diffusion systems in \(\mathbb R^2\) ⋮ Differential equations of quantum mechanics

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