Results 11 to 20 of about 78 (46)
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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Random attractors for stochastic plate equations with memory in unbounded domains
Open Mathematics, 2021 In this paper, we investigate the dynamics of stochastic plate equations with memory in unbounded domains. More specifically, we obtain the uniform time estimates for solutions of the problem.
Yao Xiao Bin
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Construction of special soliton solutions to the stochastic Riccati equation
Open Mathematics, 2022 A scheme for the analytical stochastization of ordinary differential equations (ODEs) is presented in this article. Using Itô calculus, an ODE is transformed into a stochastic differential equation (SDE) in such a way that the analytical solutions of the
Navickas Zenonas +4 more
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Construction of analytical solutions to systems of two stochastic differential equations
Open Mathematics, 2023 A scheme for the stochastization of systems of ordinary differential equations (ODEs) based on Itô calculus is presented in this article. Using the presented techniques, a system of stochastic differential equations (SDEs) can be constructed in such a ...
Navickas Zenonas +4 more
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Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations
Communications in Computational Physics, 2020 Stochastic quantities of interest are expanded in generalized polynomial chaos expansions using stochastic Galerkin methods. An application to hyperbolic differential equations does in general not transfer hyperbolicity to the coefficients of the ...
Stephan Gerster and Michael Herty
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Scaling limit of the corrector in stochastic homogenization [PDF]
, 2015 In the homogenization of divergence-form equations with random coecients, a central role is played by the corrector. We focus on a discrete space setting and on dimension 3 and more.
J. Mourrat, J. Nolen
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Random attractor of stochastic partly dissipative systems perturbed by Lévy noise
Journal of Inequalities and Applications, 2012 The current paper is devoted to random dynamics of stochastic partly dissipative systems perturbed by Lévy noise. By the technique of dissipative in probability and multivalued random dynamical systems (MRDS), the existences of random attractor for MRDS ...
Jianhua Huang
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Nonautonomous Dynamical Systems, 2020 In this article, we are concerned with the neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process.
Kasinathan Ravikumar +3 more
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HALF-SPACE MACDONALD PROCESSES
Forum of Mathematics, Pi, 2020 Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to uncover the integrability of many probabilistic systems, including the ...
GUILLAUME BARRAQUAND +2 more
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Taibleson operators, p-adic parabolic equations and ultrametric diffusion [PDF]
, 2007 We give a multimensional version of the p-adic heat equation, and show that its fundamental solution is the transition density of a Markov process. 1. Introduction.
J. J. Rodriguez-Vega +1 more
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