Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincaré domains
The asymptotically autonomous robustness of random attractors of stochastic fluid equations
defined on bounded domains has been considered in the literature. In this article, we initially …
defined on bounded domains has been considered in the literature. In this article, we initially …
[HTML][HTML] Stochastic hydrodynamic-type evolution equations driven by Lévy noise in 3D unbounded domains—abstract framework and applications
E Motyl - Stochastic Processes and their Applications, 2014 - Elsevier
The existence of martingale solutions of the hydrodynamic-type equations in 3D possibly
unbounded domains is proved. The construction of the solution is based on the Faedo …
unbounded domains is proved. The construction of the solution is based on the Faedo …
Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures
MT Mohan - Stochastic Analysis and Applications, 2020 - Taylor & Francis
In this work, we consider the two-dimensional viscoelastic fluid flow equations, arising from
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …
Strong solutions to stochastic hydrodynamical systems with multiplicative noise of jump type
H Bessaih, E Hausenblas… - … Differential Equations and …, 2015 - Springer
In this paper we prove the existence and uniqueness of maximal strong (in PDE sense)
solution to several stochastic hydrodynamical systems on unbounded and bounded …
solution to several stochastic hydrodynamical systems on unbounded and bounded …
Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains
This article concerns the long-term random dynamics for a nonautonomous Navier-Stokes
equation defined on a bounded smooth domain O driven by multiplicative and additive …
equation defined on a bounded smooth domain O driven by multiplicative and additive …
Nonlinear filtering of stochastic Navier-Stokes equation with Itô-Lévy noise
BPW Fernando, SS Sritharan - Stochastic Analysis and …, 2013 - Taylor & Francis
In this article, we study the existence and uniqueness of the strong pathwise solution of
stochastic Navier-Stokes equation with Itô-Lévy noise. Nonlinear filtering problem is …
stochastic Navier-Stokes equation with Itô-Lévy noise. Nonlinear filtering problem is …
Global martingale weak solutions for the three-dimensional stochastic chemotaxis-Navier-Stokes system with Lévy processes
L Zhang, B Liu - Journal of Functional Analysis, 2024 - Elsevier
This paper considers the three-dimensional stochastic chemotaxis-Navier-Stokes (SCNS)
system subjected to a Lévy-type random external force in a bounded domain. Until recently …
system subjected to a Lévy-type random external force in a bounded domain. Until recently …
Martingale solutions of two and three dimensional stochastic convective Brinkman-Forchheimer equations forced by L\'evy noise
MT Mohan - arXiv preprint arXiv:2109.05510, 2021 - arxiv.org
The convective Brinkman-Forchheimer equations given by $$\frac {\partial\boldsymbol
{u}}{\partial t}-\mu\Delta\boldsymbol {u}+(\boldsymbol {u}\cdot\nabla)\boldsymbol …
{u}}{\partial t}-\mu\Delta\boldsymbol {u}+(\boldsymbol {u}\cdot\nabla)\boldsymbol …
Ergodicity for the 3D stochastic Navier–Stokes equations perturbed by Lévy noise
MT Mohan, K Sakthivel… - Mathematische …, 2019 - Wiley Online Library
In this work we construct a Markov family of martingale solutions for 3D stochastic Navier–
Stokes equations (SNSE) perturbed by Lévy noise with periodic boundary conditions. Using …
Stokes equations (SNSE) perturbed by Lévy noise with periodic boundary conditions. Using …
Stochastic Euler equations of fluid dynamics with Lévy noise
MT Mohan, SS Sritharan - Asymptotic Analysis, 2016 - content.iospress.com
Stochastic Euler equations of fluid dynamics with Lévy noise - IOS Press You are
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