Journal ArticleDOI
Nonlinear Filtering of Stochastic Navier-Stokes Equation with Itô-Lévy Noise
TLDR
In this paper, the existence and uniqueness of the strong pathwise solution of stochastic Navier-Stokes equation with Ito-Levy noise was studied and the recursive estimation of conditional expectation of the flow field given back measurements of sensor output data was formulated.Citations
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On the Navier-Stokes equations
TL;DR: In this paper, a criterion for the convergence of numerical solutions of Navier-Stokes equations in two dimensions under steady conditions is given, which applies to all cases, of steady viscous flow in 2D.
Journal ArticleDOI
Stochastic Reaction-diffusion Equations Driven by Jump Processes
TL;DR: In this paper, the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations is established, which are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional.
Journal ArticleDOI
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise
TL;DR: In this article, the authors established the solvability of martingale solutions for the stochastic Navier-Stokes equations with Ito-Levy noise in bounded and unbounded domains in $ \mathbb{R} ^d$,$d=2,3.$.
Journal ArticleDOI
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
TL;DR: In this paper, the existence and uniqueness of maximal strong (in PDE sense) solution to several stochastic hydrodynamical systems on unbounded and bounded domains of n = 2, 3.
References
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Book
Stochastic integration and differential equations
TL;DR: In this article, the authors propose a method for general stochastic integration and local times, which they call Stochastic Differential Equations (SDEs), and expand the expansion of Filtrations.
Book
Navier-Stokes Equations
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Book
Stochastic Equations in Infinite Dimensions
Giuseppe Da Prato,Jerzy Zabczyk +1 more
TL;DR: In this paper, the existence and uniqueness of nonlinear equations with additive and multiplicative noise was investigated. But the authors focused on the uniqueness of solutions and not on the properties of solutions.
Related Papers (5)
Martingale and stationary solutions for stochastic Navier-Stokes equations
Franco Flandoli,Dariusz Gatarek +1 more