10 papers · 1 filter
On Continuous Data Assimilation for a class of 2D and 3D stochastic non-Newtonian fluids of differential type
Kush Kinra
Continuous data assimilation (CDA) techniques, most notably the nudging approach proposed by Azouani, Olson, and Titi (AOT), have been shown to be very successful in deterministic…
Global-in-time optimal control of stochastic third-grade fluids with additive noise
Kush Kinra, Fernanda Cipriano
In this article, we address the velocity tracking control problem for a class of stochastic non-Newtonian fluids. More precisely, we consider the stochastic third-grade fluid equat…
Existence and asymptotic autonomous robustness of random attractors for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domains
Bui Kim My, Ho Thi Hang, Kush Kinra +2
In this article, we discuss the existence and asymptotically autonomous robustness (AAR) (almost surely) of random attractors for 3D stochastic globally modified Navier-Stokes equa…
A note on continuous data assimilation for stochastic convective Brinkman-Forchheimer equations in 2D and 3D
Kush Kinra
Continuous data assimilation (CDA) methods, such as the nudging algorithm introduced by Azouani, Olson, and Titi (AOT), have proven to be highly effective in deterministic settings…
Large time behaviour for a class of 2D and 3D stochastic non-Newtonian fluids of differential types: Attractors and invariant measures
Kush Kinra
This study investigates a stochastic version of a class of non-Newtonian fluids governed by third-grade fluid equations, which exhibit complex and highly nonlinear dynamics. In par…
Rate of convergence of random attractors towards deterministic singleton attractor for a class of non-Newtonian fluids of differential type
Kush Kinra
In this article, we investigate the long-term dynamics of a class of two- and three-dimensional non-Newtonian fluids of differential type, known as third-grade fluids. We first sho…