Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincaré domains

R Wang, K Kinra, MT Mohan - SIAM Journal on Mathematical Analysis, 2023 - SIAM
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 …

[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 …

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 …

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 …

Asymptotic autonomy of random attractors for non-autonomous stochastic Navier-Stokes equations on bounded domains

K Kinra, R Wang, MT Mohan - Evolution Equations and Control …, 2024 - aimsciences.org
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 …

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 …

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 …

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 …

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 …

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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