International audienceIn this paper, we numerically solve the two-dimensional stochastic nonlinear Shrödinger equation in the case of multiplicative and additive white noises. The aim is to investigate their influence on well-known deterministic solutions: stationary states and blowing-up solutions. In the first case, we find that a multiplicative noise has a damping effect very similar to diffusion. However, for small amplitudes of the noise, the structure of solitary state is still localized. In the second case, a local refinement algorithm is used to overcome the difficulty arising for the computation of singular solutions. Our expirements show that multiplicative white noise stops the deterministic blow-up which occurs in the critical c...
We consider the stochastic NLS with linear multiplicative noise in L2(Rd) and prove the existence an...
In this paper we focus on the stochastic Euler-Poincar\'{e} equations with pseudo-differential/multi...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
International audienceIn this paper, we numerically solve the two-dimensional stochastic nonlinear S...
International audienceIn this paper, we numerically solve the two-dimensional stochastic nonlinear S...
AbstractIn this note, we numerically investigate a stochastic nonlinear Schrödinger equation derived...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
We study the focusing stochastic nonlinear Schr\"odinger equation in one spatial dimension with mult...
In this thesis, we will discuss the Cauchy problem for some nonlinear dispersive PDEs with additive...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
In this work we present examples of the effects of noise on the solution of a partial differential e...
We consider the stochastic NLS with linear multiplicative noise in L2(Rd) and prove the existence an...
In this paper we focus on the stochastic Euler-Poincar\'{e} equations with pseudo-differential/multi...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...
International audienceIn this paper, we numerically solve the two-dimensional stochastic nonlinear S...
International audienceIn this paper, we numerically solve the two-dimensional stochastic nonlinear S...
AbstractIn this note, we numerically investigate a stochastic nonlinear Schrödinger equation derived...
Arnaud Debussche † Laurent Di Menza∗ We describe several results obtained recently on stochastic non...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
We study the focusing stochastic nonlinear Schr\"odinger equation in one spatial dimension with mult...
In this thesis, we will discuss the Cauchy problem for some nonlinear dispersive PDEs with additive...
International audienceThis article is devoted to the numerical study of a nonlinear Schrödinger equa...
In this work we present examples of the effects of noise on the solution of a partial differential e...
We consider the stochastic NLS with linear multiplicative noise in L2(Rd) and prove the existence an...
In this paper we focus on the stochastic Euler-Poincar\'{e} equations with pseudo-differential/multi...
International audienceSample path large deviations for the laws of the solutions of stochastic nonli...