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An Insensitizing Control Problem for the Ginzburg–Landau Equation
Journal of Optimization Theory and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maurício Cardoso Santos +1 more
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Onset of chaos in the generalized Ginzburg-Landau equation
Physical Review A, 1990Study 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, 2001The 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
2000In 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, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Ginzburg-Landau equations
Archive for Rational Mechanics and Analysis, 1964Carroll, Robert W., Glick, A. J.
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Stationary Ginzburg–Landau Equations
2020Starting 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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A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations
Journal of Computational Physics, 2021Yong-Liang Zhao +2 more
exaly
On the numerical controllability of the Ginzburg-Landau equation
Communications to SIMAI Congress, 2006Garzon R, Valente V
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Vortices in Ginzburg-Landau equations
1998Summary: GL models were first introduced by V. Ginzburg and L. Landau around \(1950\) in order to describe superconductivity. Similar models appeared soon after for various phenomena: Bose condensation, superfluidity, non linear optics. A common property of these models is the major role of topological defects, termed in our context vortices.
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