Results 191 to 200 of about 8,988 (223)

The Validity of Generalized Ginzburg-Landau Equations

Mathematical Methods in the Applied Sciences, 1996
The work is devoted to a rigorous derivation of the Ginzburg-Landau (GL) equations as an asymptotic limit of nonlinear ultraparabolic equations describing systems of hydrodynamic origin, in which a stationary homogeneous state becomes unstable, at a critical value of a control parameter, against spatial perturbations with a finite wavelength.
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Small energy solutions to the Ginzburg–Landau equation

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000
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F. Bethuel, H. Brezis, ORLANDI, Giandomenico   +2 more
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An Insensitizing Control Problem for the Ginzburg–Landau Equation

Journal of Optimization Theory and Applications, 2019
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Maurício Cardoso Santos, Thiago Yukio Tanaka   +1 more
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Onset of chaos in the generalized Ginzburg-Landau equation

Physical Review A, 1990
Study of chaos in the generalized Ginzburg-Landau equation (GLE) $$ {\text{iu}}_{\text{t}} + {\text{u}}_{{\text{xx}}} + 2\left| {\text{u}} \right|^{\text{2}} {\text{u}} = {\text{i}} \in _1 {\text{u}} - {\text{i}} \in _3 \left| {\text{u}} \right|^2 {\text{u}} + {\text{i}} \in _2 u_{{\text{xx}}} $$ (1) is a subject of great current interest ...
, Malomed, , Nepomnyashchy
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Low-Dimensional Models of the Ginzburg--Landau Equation

SIAM Journal on Applied Mathematics, 2001
The author considers homogeneous Neumann boundary conditions and Dirichlet boundary conditions for a system of complex Ginzburg-Landau equations. By Fourier-Galerkin procedure, the equations are cast into a finite-dimensional dynamical description. A nonlinear variational principle is used to extracted principal interaction patterns from the system.
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The Ginzburg-Landau Equation in ℂ

2000
In this chapter we begin the study of Ginzburg-Landau vortices. To begin with, we define u 1, the radially symmetric solution of the Ginzburg-Landau equation in all ℂ, and also L 1, the linearized Ginzburg-Landau operator about u 1. Next we carry out a careful study of all possible asymptotic behaviors of a solution of the homogeneous equation L 1 E ...
Frank Pacard, Tristan Rivière
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On the validity of the Ginzburg-Landau equation

Journal of Nonlinear Science, 1991
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On the Ginzburg-Landau equations

Archive for Rational Mechanics and Analysis, 1964
Carroll, Robert W., Glick, A. J.
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Stationary Ginzburg–Landau Equations

2020
Starting with this Chapter, we will consecutively introduce the basic framework which will eventually allow us to present the derivation of time-dependent Ginzburg–Landau equations.
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Conservation laws of the complex Ginzburg-Landau equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2023
Nikolay A Kudryashov
exaly