Zobrazeno 1 - 10
of 26
pro vyhledávání: '"35Q55, 60H15"'
We consider the nonlinear Schr\"odinger equation with multiplicative spatial white noise and an arbitrary polynomial nonlinearity on the two-dimensional full space domain. We prove global well-posedness by using a gauge-transform introduced by Hairer
Externí odkaz:
http://arxiv.org/abs/2301.10825
Autor:
Zine, Younes
We study the limiting behavior of the two-dimensional singular stochastic stochastic cubic nonlinear complex Ginzburg-Landau with Gibbs measure initial data. We show that in the appropriate small viscosity and small noise regimes, the limiting dynami
Externí odkaz:
http://arxiv.org/abs/2212.00604
Autor:
Barashkov, Nikolay, Laarne, Petri
We show probabilistic existence and uniqueness for the Wick-ordered cubic nonlinear wave equation in a weighted Besov space over $\mathbb R^2$. To achieve this, we show that a weak limit of $\phi^4$ measures on increasing tori is invariant under the
Externí odkaz:
http://arxiv.org/abs/2211.16111
In this paper we consider the two-dimensional stochastic Gross-Pitaevskii equation, which is a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg-Landau equation with a harmonic potential and an a
Externí odkaz:
http://arxiv.org/abs/2101.10106
In this paper, we present a globalization argument for stochastic nonlinear dispersive PDEs with additive noises by adapting the $I$-method (= the method of almost conservation laws) to the stochastic setting. As a model example, we consider the defo
Externí odkaz:
http://arxiv.org/abs/1910.14558
Autor:
Cui, Jianbo, Hong, Jialin
In this paper, we investigate the damped stochastic nonlinear Schr\"odinger(NLS) equation with multiplicative noise and its splitting-based approximation. When the damped effect is large enough, we prove that the solutions of the damped stochastic NL
Externí odkaz:
http://arxiv.org/abs/1711.00516
The stochastic Gross-Pitaevskii equation is used as a model to describe Bose-Einstein condensation at positive temperature. The equation is a complex Ginzburg Landau equation with a trapping potential and an additive space-time white noise. Two impor
Externí odkaz:
http://arxiv.org/abs/1708.01961
Autor:
Anton, Rikard, Cohen, David
We study an explicit exponential scheme for the time discretisation of stochastic Schr\"odinger equations driven by additive or multiplicative Ito noise. The numerical scheme is shown to converge with strong order $1$ if the noise is additive and wit
Externí odkaz:
http://arxiv.org/abs/1601.06623
Autor:
Shirikyan, Armen
We consider the behaviour of the distribution for stationary solutions of the complex Ginzburg-Landau equation perturbed by a random force. It was proved earlier that if the random force is proportional to the square root of the viscosity, then the f
Externí odkaz:
http://arxiv.org/abs/1003.1081
Autor:
de Bouard, Anne, Debussche, Arnaud
Publikováno v:
Annals of Probability 2005, Vol. 33, No. 3, 1078-1110
We study the influence of a multiplicative Gaussian noise, white in time and correlated in space, on the blow-up phenomenon in the supercritical nonlinear Schrodinger equation. We prove that any sufficiently regular and localized deterministic initia
Externí odkaz:
http://arxiv.org/abs/math/0506595