Multi-vortex solutions to Ginzburg-Landau equations with external potential
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Publication:2276289
DOI10.1007/s00205-011-0478-zzbMath1256.35147OpenAlexW1992625289MaRDI QIDQ2276289
A. Pakylak, Wei, Juncheng, Fan Ting
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-011-0478-z
Statistical mechanics of superconductors (82D55) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Ginzburg-Landau equations (35Q56)
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Dynamic stability and instability of pinned fundamental vortices ⋮ Multi-vortex non-radial solutions to the magnetic Ginzburg-Landau equations ⋮ Infinitely many positive solutions for nonlinear equations with non-symmetric potentials ⋮ Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2
Cites Work
- Towards Jaffe and Taubes conjectures in the strongly repulsive limit
- Dynamic stability and instability of pinned fundamental vortices
- Effective dynamics of a magnetic vortex in a local potential
- Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
- Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in \(\mathbb R^1\)
- On the incompressible fluid limit and the vortex motion law of the nonlinear Schrödinger equation
- Dynamics of Abelian Higgs vortices in the near Bogomolny regime
- Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
- Gradient flow of the superconducting Ginzburg-Landau functional on the plane
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Dynamics of Ginzburg-Landau vortices
- Asymptotic behavior of minimizers for the Ginzburg-Landau functional with weight. I
- Vortex pinning with bounded fields for the Ginzburg-Landau equation.
- The stability of magnetic vortices
- Pinning phenomena in the Ginzburg-Landau model of superconductivity
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Vortex pinning by inhomogeneities in type-II superconductors.
- Vortex dynamics in U(1) Ginzburg-Landau models
- Infinitely many positive solutions for the nonlinear Schrödinger equations in \(\mathbb R^N\)
- Effective dynamics of magnetic vortices
- On the number of interior peak solutions for a singularly perturbed Neumann problem
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Gamma-convergence of gradient flows with applications to Ginzburg-Landau
- Dynamic stability of magnetic vortices
- Vortex dynamics of the full time‐dependent Ginzburg‐Landau equations
- A Ginzburg–Landau type model of superconducting/normal junctions including Josephson junctions
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Effective dynamics of multi-vortices in an external potential for the Ginzburg–Landau gradient flow
- On interacting bumps of semi-classical states of nonlinear Schrödinger equations.
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