Results 1 to 10 of about 2,505 (109)
Effects of Brownian noise strength on new chiral solitary structures
Journal of Low Frequency Noise, Vibration and Active Control, 2023 In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi +2 more
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Large deviations for nonlocal stochastic neural fields. [PDF]
J Math Neurosci, 2014 We study the effect of additive noise on integro-differential neural field equations. In particular, we analyze an Amari-type model driven by a Q-Wiener process, and focus on noise-induced transitions and escape.
Kuehn C, Riedler MG.
europepmc +3 more sources
Extremes of the stochastic heat equation with additive Lévy noise [PDF]
Electronic Journal of Probability, 2022 We analyze the spatial asymptotic properties of the solution to the stochastic heat equation driven by an additive Lévy space-time white noise. For fixed time t > 0 and space x ∈ R we determine the exact tail behavior of the solution both for light ...
Carsten Chong, P. Kevei
semanticscholar +1 more source
Nonlinear Fokker-Planck Equations with Time-Dependent Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2021 An operatorial based approach is used here to prove the existence and uniqueness of a strong solution $u$ to the time-varying nonlinear Fokker--Planck equation $u_t(t,x)-\Delta(a(t,x,u(t,x))u(t,x))+{\rm div}(b(t,x,u(t,x))u(t,x))=0$ in $(0,\infty)\times ...
V. Barbu, M. Röckner
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The complex Ginzburg-Landau equation perturbed by a force localised both in physical and Fourier spaces [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 In the paper [KNS20a], a criterion for exponential mixing is established for a class of random dynamical systems. In that paper, the criterion is applied to PDEs perturbed by a noise localised in the Fourier space.
V. Nersesyan
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The support of singular stochastic partial differential equations
Forum of Mathematics, Pi, 2022 We obtain a generalisation of the Stroock–Varadhan support theorem for a large class of systems of subcritical singular stochastic partial differential equations driven by a noise that is either white or approximately self-similar.
Martin Hairer, Philipp Schönbauer
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The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation
Open Mathematics, 2022 In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Itô sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G′G\frac{{G ...
Albosaily Sahar +4 more
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Demonstratio Mathematica, 2023 In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed.
Mohammed Wael W. +2 more
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Probability on Submetric Spaces
Annales Mathematicae Silesianae, 2023 A submetric space is a topological space with continuous metrics, generating a metric topology weaker than the original one (e.g. a separable Hilbert space with the weak topology).
Jakubowski Adam
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Invariant measure of stochastic higher order KdV equation driven by Poisson processes
, 2021 The current paper is devoted to stochastic damped higher order KdV equation driven by Poisson process. We establish the well-posedness of stochastic damped higher-order KdV equation, and prove that there exists an unique invariant measure for non-random ...
Pengfei Xu, Jianhua Huang, Wei Yan
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