Stable solutions to the Ginzburg-Landau equation with magnetic effect in thin domain
From MaRDI portal
Publication:701905
DOI10.1007/BF03167468zbMath1058.35019MaRDI QIDQ701905
Publication date: 14 January 2005
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15)
Related Items (8)
Limiting behavior of dynamics for stochastic reaction-diffusion equations with additive noise on thin domains ⋮ Limiting dynamics of stochastic heat equations with memory on thin domains ⋮ Asymptotic behavior of stochastic complex Ginzburg-Landau equations with deterministic non-autonomous forcing on thin domains ⋮ Unnamed Item ⋮ Limiting behavior of non-autonomous stochastic reaction-diffusion equations on thin domains ⋮ Random dynamics for non-autonomous stochastic evolution equations without uniqueness on unbounded narrow domains ⋮ On a nonlocal problem involving a nonstandard nonhomogeneous differential operator ⋮ Asymptotic behaviour of stochastic heat equations in materials with memory on thin domains
Cites Work
- Unnamed Item
- Ginzburg-Landau equation with magnetic effect: non-simply-connected domains
- Stable vortex solutions to the Ginzburg-Landau equation with a variable coefficient in a disk
- Asymptotics for thin superconducting rings
- Proof of the De Gennes formula for the superheating field in the weak \(\kappa\) limit
- Domain variation for certain sets of solutions and applications
- Stable nucleation for the Ginzburg-Landau system with an applied magnetic field
- Domain perturbation method and local minimizers to Ginzburg-Landau functional with magnetic effect
- Ginzburg-Landau equation with magnetic effect in a thin domain
- Stable solutions with zeros to the Ginzburg-Landau equation with Neumann boundary condition
- Ginzburg-Landau equation with DeGennes boundary condition
- Homotopy classification of minimizers of the Ginzburg-Landau energy and the existence of permanent currents
- Stable configurations in superconductivity: Uniqueness, multiplicity, and vortex-nucleation
- A model for variable thickness superconducting thin films
- Elliptic Partial Differential Equations of Second Order
- Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds
- Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions
- Bifurcation Analysis for Phase Transitions in Superconducting Rings with Nonuniform Thickness
- Stabilization of Vortices in the Ginzburg--Landau Equation with a Variable Diffusion Coefficient
- A modified Ginzburg-Landau model for Josephson junctions in a ring
- ON THE ENERGY OF TYPE-II SUPERCONDUCTORS IN THE MIXED PHASE
- Onset of superconductivity in decreasing fields for general domains
- Eigenvalue problems of Ginzburg–Landau operator in bounded domains
- Nonexistence of Permanent Currents in Convex Planar Samples
- Ginzburg-landau equation and stable steady state solutions in a non-trivial domain
- Ginzburg–Landau Equations and Stable Solutions in a Rotational Domain
- Boundary concentration for eigenvalue problems related to the onset of superconductivity
This page was built for publication: Stable solutions to the Ginzburg-Landau equation with magnetic effect in thin domain