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12 papers · 2 filters
Energy decay for a system of Schr{ö}dinger equations in a wave guide
Radhia Ayechi, Ilhem Boukhris, Julien Royer
We prove exponential decay for a system of two Schr{ö}dinger equations in a wave guide, with coupling and damping at the boundary. This relies on the spectral analysis of the corre…
Finite time extinction for a class of damped Schr{ö}dinger equations with a singular saturated nonlinearity
Pascal Bégout, Jesús Ildefonso Díaz
We present some sharper finite extinction time results for solutions of a class of damped nonlinear Schr{ö}dinger equations when the nonlinear damping term corresponds to the limit…
Incompressible limit for the free surface Navier-Stokes system
Nader Masmoudi, Frédéric Rousset, Changzhen Sun
We establish uniform regularity estimates with respect to the Mach number for the three-dimensional free surface compressible Navier-Stokes system in the case of slightly well-prep…
Entire vortex solutions of negative degree for the anisotropic Ginzburg-Landau system
Michał Kowalczyk, Xavier Lamy, Panayotis Smyrnelis
The anisotropic Ginzburg-Landau system \[ Δu+δ\, \nabla (\mathrm{div}\: u) +δ\, \mathrm{curl}^*(\mathrm{curl}\: u)=(|u|^2-1) u, \] for and $δ\in…
Instability of algebraic standing waves for nonlinear Schr\''odinger equations with triple power nonlinearities
Phan van Tin
We consider the following triple power nonlinear Schr{ö}dinger equation: iut + u + a 1 |u|u + a 2 |u| 2 u + a 3 |u| 3 u = 0. We are interested in algebraic standing waves i.e st…
The porous medium equation as a singular limit of the thin film Muskat problem
Philippe Laurençot, Bogdan-Vasile Matioc
The singular limit of the thin film Muskat problem is performed when the density (and possibly the viscosity) of the lighter fluid vanishes and the porous medium equation is identi…