17 citations · 63 across the 10 of their papers we have counts for
11 papers
On the ground state of the nonlinear Schr{ö}dinger equation: asymptotic behavior at the endpoint powers
Rémi Carles, Quentin Chauleur, Guillaume Ferriere +1
We consider the ground states of the nonlinear Schr{ö}dinger equation, which stand for radially symmetric and exponentially decaying solutions on the full space. We investigate the…
On the dependence of the nonlinear Schrodinger flow upon the power of the nonlinearity
Rémi Carles, Quentin Chauleur, Guillaume Ferriere
We prove continuity properties for the flow map associated to the defocusing energy-subcritical power-like nonlinear Schr{ö}dinger equation, when the power varies. We show local in…
On the propagation of high regularity for the logarithmic Schr{ö}dinger equation
Quentin Chauleur, Guillaume Ferriere
We investigate both the instantaneous loss and the persistence of high regularity for the one-dimensional logarithmic Schr{ö}dinger equation in symmetric domains under various boun…
Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière +1
In this paper, we consider a ferromagnetic material of ellipsoidal shape. The associated magnetic moment then has two asymptotically stable opposite equilibria, of the form $\pm\ov…
Logarithmic Gross-Pitaevskii equation
Rémi Carles, Guillaume Ferriere
We consider the Schr{ö}dinger equation with a logarithmic nonlinearty and non-trivial boundary conditions at infinity. We prove that the Cauchy problem is globally well posed in th…
Unbounded-energy solutions to the fluid+disk system and long-time behavior for large initial data
Guillaume Ferriere, Matthieu Hillairet
In this paper, we analyse the long-time behavior of solutions to a coupled system describing the motion of a rigid disk in a 2D viscous incompressible fluid. Following previous app…
Logarithmic Schr{ö}dinger equation with quadratic potential
Rémi Carles, Guillaume Ferriere
We analyze dynamical properties of the logarithmic Schr{ö}dinger equation under a quadratic potential. The sign of the nonlinearity is such that it is known that in the absence of…
WKB analysis of the Logarithmic Nonlinear Schrodinger Equation in an analytic framework
Guillaume Ferriere
We are interested in a WKB analysis of the Logarithmic Non-Linear Schrödinger Equation with "Riemann-like" variables in an analytic framework in semiclassical regime. We show that…
Existence of multi-solitons for the focusing Logarithmic Non-Linear Schrodinger Equation
Guillaume Ferriere
We consider the logarithmic Schr{ö}dinger equation (logNLS) in the focusing regime. For this equation, Gaussian initial data remains Gaussian. In particular, the Gausson-a time-ind…
The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition
Guillaume Ferriere
We consider the logarithmic Schrödinger equation in the focusing regime. For this equation, Gaussian initial data remains Gaussian. In particular, the Gausson-a time-independent Ga…
Convergence rate in Wasserstein distance and semiclassical limit for the defocusing logarithmic Schr{ö}dinger equation
Guillaume Ferriere
We consider the dispersive logarithmic Schr{ö}dinger equation in a semi-classical scaling. We extend the results about the large time behaviour of the solution (dispersion faster t…