Boundary problems for the Ginzburg-Landau equation.

Thanks to the same estimate, we recover on one hand an explicit bound on the long time behavior of the spatially homogeneous equation, and on the other hand the strong L 1

Null controllability of the complex Ginzburg–Landau equation Contrôlabilité à zéro de l’équation de Ginzburg–Landau complexe.. Lionel Rosier a,b, ∗ , Bing-Yu

Let us mention that local existence results in the spaces X k ( R d ), k > d/2, were already proved by Gallo [6], and that a global existence result in X 2 ( R 2 ) has been

We study the limit at infinity of the travelling waves of finite energy in the Gross–Pitaevskii equation in dimension larger than two: their uniform convergence to a constant of

For a sufficiently large applied magnetic field and for all sufficiently large values of the Ginzburg–Landau parameter κ = 1/ε, we show that minimizers have nontrivial

In the last section, the interpretation of the parameters of the finite dimensional problem in terms of the blow-up time and the blow-up point gives the stability of the

For sake of completeness, we give also the limit behaviour of the previous Ginzburg-Landau equation with homogeneous Dirichlet boundary condition (for scalar problems with

Keywords: Complex Ginzburg–Landau equation, stationary measures, inviscid limit, local time..