Results 31 to 40 of about 6,114 (231)
Frequency-Uniform Decomposition, Function Spaces , and Applications to Nonlinear Evolution Equations
Journal of Function Spaces and Applications, 2013 By combining frequency-uniform decomposition with (), we introduce a new class of function spaces (denoted by ). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in .
Shaolei Ru, Jiecheng Chen
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Thermodynamic limit of the Ginzburg-Landau equations [PDF]
Nonlinearity, 1994 uuencoded dvi file (email: collet@orphee.polytechnique.fr)
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A Model for Vortex Nucleation in the Ginzburg–Landau Equations [PDF]
Journal of Nonlinear Science, 2017 19 pages, 0 ...
Gautam Iyer, Daniel Spirn
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Ginzburg-Landau Equations on Non-compact Riemann Surfaces
, 2023 We study the Ginzburg-Landau equations on line bundles over non-compact Riemann surfaces with constant negative curvature. We prove existence of solutions with energy strictly less than that of the constant curvature (magnetic field) one. These solutions
Ercolani, Nicolas M. +9 more
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Limiting vorticities for the Ginzburg-Landau equations
Duke Mathematical Journal, 2003 The asymptotic limit of solutions to the Ginzburg-Landau equations in two dimensions is investigated. The authors study the Ginzburg-Landau system with magnetic field describing a superconductor in an applied magnetic field in the ``London limit'' of a Ginzburg-Landau parameter \(\kappa\) tending to infinity. The asymptotic behavior is examined of the `
Sandier, Etienne, Serfaty, Sylvia
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Advances in Difference Equations, 2020 In this paper, we consider a class of nonautonomous discrete p-Laplacian complex Ginzburg–Landau equations with time-varying delays. We prove the existence and uniqueness of pullback attractor for these equations.
Xiaoqin Pu, Xuemin Wang, Dingshi Li
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Multisoliton Solutions of the Complex Ginzburg-Landau Equation [PDF]
Physical Review Letters, 1997 We present novel stable solutions which are soliton pairs and trains of the ID complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations.
Akhmediev, N. +2 more
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On Abrikosov Lattice Solutions of the Ginzburg-Landau Equation [PDF]
Mathematical Modelling of Natural Phenomena, 2013 15 ...
Tzaneteas, Timmy, Sigal, I.M.
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Numerical simulation of Ginzburg-Landau-Langevin equations [PDF]
, 2007 This work is concerned with non-equilibrium phenomena, with focus on the numerical simulation of the relaxation of non-conserved order parameters described by stochastic kinetic equations known as Ginzburg-Landau-Langevin (GLL) equations.
Cassol-Seewald, N. C. +5 more
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, 2000 The bifurcation of asymmetric superconducting solutions from the normal solution is considered for the one-dimensional Ginzburg--Landau equations by the methods of formal asymptotics.
Chapman, Stephen +6 more
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