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The asymptotic behavior of the stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations
Boundary Value Problems, 2020 The stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau equations (KS-GL) perturbed by additive noises is investigated in this paper. By making careful analysis, we first consider the existence and uniqueness of the solution with initial-boundary
Lin Lin, Mei Li
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Condensed Matter, 2023 Studies involving vortexes in hybrid superconducting devices and their interactions with different components inside samples are important for reaching higher values of critical parameters in superconducting materials.
Jesús González +2 more
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Renormalization Group and the Ginzburg-Landau equation [PDF]
Communications in Mathematical Physics, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bricmont, J., Kupiainen, A.
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Nonstationary Superconductivity: Quantum Dissipation and Time-Dependent Ginzburg-Landau Equation
Advances in Condensed Matter Physics, 2011 Transport equations of the macroscopic superfluid dynamics are revised on the basis of a combination of the conventional (stationary) Ginzburg-Landau equation and Schrödinger's equation for the macroscopic wave function (often called the order parameter)
Anatoly A. Barybin
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East European Journal of Physics, 2020 In this paper we studied the weakly nonlinear stage of stationary convective instability in a nonuniformly rotating layer of an electrically conductive fluid in an axial uniform magnetic field under the influence of: a) temperature modulation of the ...
Michael I. Kopp +2 more
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Computers & Mathematics with Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Adomian, G., Meyers, R.E.
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On the bifurcation theory of the Ginzburg–Landau equations
, 2023 We construct nonminimal and irreducible solutions to the Ginzburg-Landau equations on closed manifolds of arbitrary dimension with trivial first real cohomology. Our method uses bifurcation theory where the "bifurcation points" are characterized by the eigenvalues of a Laplace-type operator.
Nagy, Ákos, Oliveira, Gonçalo
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Electrodynamics of s-Wave Superconductors Using First-Order Formalism
Condensed Matter, 2017 In this paper we give a derivation of a system of equations which generalize the London brothers and Ginzburg–Landau systems of equations, to describe the electrodynamics of s-wave superconductors.
Naoum Karchev
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BOUNDARY PROBLEMS FOR THE GINZBURG–LANDAU EQUATION [PDF]
Communications in Contemporary Mathematics, 2005 We provide a study at the boundary for a class of equations including the Ginzburg–Landau equation as well as the equation of travelling waves for the Gross–Pitaevskii model. We prove Clearing-Out results and an orthogonal anchoring condition of the vortex on the boundary for the Ginzburg–Landau equation with magnetic field.
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Pulses and snakes in Ginzburg–Landau equation [PDF]
Nonlinear Dynamics, 2014 30 pages, 14 ...
Mancas, Stefan C., Choudhury, Roy S.
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