Quelques problèmes relatifs à la dynamique des points vortex dans les équations d'Euler et de Ginzburg-Landau complexe

␤ ⬎ 0 共nonzero diffusivity in the transverse plane兲 is indeed necessary for the stability of all vortical DSs, the presence of spectral filtering is not a necessary

In particular, in the framework of the CGL equation with ␤ = ␥ = 0, where the free motion is possible both in transverse plane 共x ,y兲 and along axis z, the collision between

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

There is a convenient variational setting for the periodic Ginzburg–Landau equations, we may refer to [20,13] for a mathematically oriented presentation of this setting, the

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

we shall also show the existence of mountain-pass type critical points of (1.4) whenever the renormalized energy Wg has a critical point of the mountain-pass

Using various elliptic estimates, we are able to relate, in the same spirit, local estimates for the gradient of the modulus to the potential as follows..

The relation of the (possible) asymptotic behavior of solutions to (PGL) ε with motion by mean curvature, in Brakke’s (weak) formulation, has been shown in [4], under some