In this paper, we investigate the well-posedness of the real fractional Ginzburg-Landau equation in several different function spaces, which have been used to deal with the Burgers' equation, the semilinear heat equation, the Navier-Stokes equations, etc. The long time asymptotic behavior of the nonnegative global solutions is also studied in details.</p
International audienceWe show that the initial value problem associated to the dispersive generalize...
This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck p...
AbstractThe fractional Landau–Lifshitz–Maxwell equation is considered in this paper. We show the glo...
In this paper, we investigate the well-posedness of the real fractional Ginzburg-Landau equation in ...
AbstractWe study the local well-posedness of the initial value problem of the fractional Landau–Lifs...
In this paper, we consider the following complex Ginzburg-Landau equation. (CGL) left{begin{aray}{l}...
International audienceBased on a shooting alternative that allows us to numerically solve the one-di...
summary:The article deals with a nonlinear generalized Ginzburg-Landau (Allen-Cahn) system of PDEs ...
We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-L...
To appear in Arch. Rational Mech. Anal.This paper is devoted to the asymptotic analysis of a fractio...
The so-called Ginzburg-Landau formalism applies for parabolic systems which are defined on cylindric...
We study the Cauchy problem for the half Ginzburg- Landau-Kuramoto (hGLK) equation with the second o...
ABSTRACT. This paper is devoted to the asymptotic analysis of a fractional version of the Ginzburg-L...
Using singular-perturbation techniques, we study the stability of modulated structures generated by ...
In this paper, Chebyshev series and rigorous numerics are combined to compute solutions of the Euler...
International audienceWe show that the initial value problem associated to the dispersive generalize...
This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck p...
AbstractThe fractional Landau–Lifshitz–Maxwell equation is considered in this paper. We show the glo...
In this paper, we investigate the well-posedness of the real fractional Ginzburg-Landau equation in ...
AbstractWe study the local well-posedness of the initial value problem of the fractional Landau–Lifs...
In this paper, we consider the following complex Ginzburg-Landau equation. (CGL) left{begin{aray}{l}...
International audienceBased on a shooting alternative that allows us to numerically solve the one-di...
summary:The article deals with a nonlinear generalized Ginzburg-Landau (Allen-Cahn) system of PDEs ...
We derive the fractional generalization of the Ginzburg-Landau equation from the variational Euler-L...
To appear in Arch. Rational Mech. Anal.This paper is devoted to the asymptotic analysis of a fractio...
The so-called Ginzburg-Landau formalism applies for parabolic systems which are defined on cylindric...
We study the Cauchy problem for the half Ginzburg- Landau-Kuramoto (hGLK) equation with the second o...
ABSTRACT. This paper is devoted to the asymptotic analysis of a fractional version of the Ginzburg-L...
Using singular-perturbation techniques, we study the stability of modulated structures generated by ...
In this paper, Chebyshev series and rigorous numerics are combined to compute solutions of the Euler...
International audienceWe show that the initial value problem associated to the dispersive generalize...
This article analyzes well-definedness and regularity of renormalized powers of Ornstein-Uhlenbeck p...
AbstractThe fractional Landau–Lifshitz–Maxwell equation is considered in this paper. We show the glo...
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