Justification of the adiabatic principle for hyperbolic Ginzburg-Landau equations

DOI10.1134/S0081543812040141zbMath1311.35304MaRDI QIDQ742258

R. V. Palvelev, Armen Glebovich Sergeev

Publication date: 18 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsperturbationvorticesmoduli spaceAbelian Higgs modelGinzburg-Landau equationsadiabatic trajectory

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Initial value problems for higher-order hyperbolic equations (35L30) Ginzburg-Landau equations (35Q56)

Related Items (8)

Рассеяние вихрей в абелевых моделях Хиггса на компактных римановых поверхностях ⋮ Seiberg-Witten theory as a complex version of abelian Higgs model ⋮ Adiabatic limit in Ginzburg-Landau and Seiberg-Witten equations ⋮ Ginzburg-Landau equations and their generalizations ⋮ Scattering of Ginzburg-Landau vortices ⋮ On two geometric problems arising in mathematical physics ⋮ Adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations ⋮ Adiabatic Limit in Yang–Mills Equations in R⁴

Cites Work

• Unnamed Item
• A remark on the scattering of BPS monopoles.
• Dynamics of Abelian Higgs vortices in the near Bogomolny regime

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