Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon

From MaRDI portal
Publication:1826083

DOI10.1016/0022-1236(89)90071-2zbMath0685.46051OpenAlexW2029887064MaRDI QIDQ1826083

Yanyan Li

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90071-2




Related Items (36)

Dynamic stability and instability of pinned fundamental vorticesExistence of topological vortices in an Abelian Chern–Simons modelDynamics of vortices in Ginzburg-Landau theories with applications to superconductivityThe existence of Ginzburg-Landau solutions on the plane by a direct variational methodON THE HESSIAN OF THE ENERGY FORM IN THE GINZBURG–LANDAU MODEL OF SUPERCONDUCTIVITYOn the equilibrium position of Ginzburg-Landau vorticesNonsymmetric vortices for the Ginzberg–Landau equations on the bounded domainExistence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\)Global \(m\)-equivariant solutions of nematic liquid crystal flows in dimension twoA variational problem for a system of magnetic monopoles joined by Abrikosov vorticesTopological methods for the Ginzburg-Landau equationsInteraction of superconducting vortices and asymptotics of the Ginzburg-Landau flowMulti-vortex non-radial solutions to the magnetic Ginzburg-Landau equationsLocal uniqueness of the magnetic Ginzburg-Landau equationEntire solutions to 4 dimensional Ginzburg-Landau equations and codimension 2 minimal submanifoldsShooting method for vortex solutions of a complex-valued Ginzburg–Landau equationSolutions of the Ginzburg–Landau equations concentrating on codimension‐2 minimal submanifoldsBubbling solutions for the Chern-Simons gauged \(O(3)\) sigma model in \(\mathbb{R}^2\)Radial solutions for the Ginzburg-Landau equation with applied magnetic field.A mean-field model of superconducting vorticesOn the minimizers of the Ginzburg-Landau energy for high kappa: The axially symmetric caseTopological defects in the abelian Higgs modelOn the Chern-Simons-Higgs vortex equation without gauge fieldsExistence of charged vortices in a Maxwell-Chern-Simons modelStatics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) stringsPinning of magnetic vortices by an external potentialLack of diamagnetism and the Little-Parks effectMulti-vortex solutions to Ginzburg-Landau equations with external potentialSymmetric Chern-Simons-Higgs vorticesUniqueness of symmetric vortex solutions in the Ginzburg-Landau model superconductivityFourfold symmetric solutions to the Ginzburg Landau equation for d-wave superconductorsMonotonicity of solution to the dark monopole equations in non-Abelian gauge field theoryInfinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2An existence and uniqueness result for symmetric vortices for the Ginzberg-Landau equations of superconductivityEffective dynamics of magnetic vorticesZeros of a complex Ginzburg–Landau order parameter with applications to superconductivity



Cites Work


This page was built for publication: Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon