Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case

The proof of our result is obtained by the combination of two main ideas: the coupling and the Foias-Prodi estimate. The first subsection is a simple example devoted to understand

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

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

Vol. - In this paper we study the structure of certain level set of the Ginzburg-Landau functional which has similar topology with the configuration space. As an

(1.14) By the dissipativity method (see [4], Section 11.5), (ii) implies exponential convergence to equilibrium for the second equation if X is fixed.. Whilst the coupling

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..

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