19 citations · 50 across the 31 of their papers we have counts for
33 papers
Boundary control for optimal mixing by two-dimensional second-grade fluids
Kush Kinra
We study optimal boundary mixing of a nondiffusive scalar transported by a two-dimensional incompressible second-grade fluid. The control is the tangential traction in a Navier-sli…
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…
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…
Optimal control problem associated with three-dimensional critical convective Brinkman-Forchheimer equations
Kush Kinra, Fernanda Cipriano
In this article, we are concerned about the velocity tracking optimal control problem for 3D critical convective Brinkman-Forchheimer equations defined on a simply connected bounde…
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…
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…
Random dynamics and invariant measures for a class of non-Newtonian fluids of differential type on 2D and 3D Poincaré domains
Kush Kinra, Fernanda Cipriano
In this article, we consider a class of incompressible stochastic third-grade fluids (non-Newtonian fluids) equations on two- as well as three-dimensional Poincaré domains $\mathca…
Inverse problem for wave equation of memory type with acoustic boundary conditions: Global solvability
Zhanna D. Totieva, Kush Kinra, Manil T. Mohan
In this article, we study the one-dimensional inverse problem of determining the memory kernel by the integral overdetermination condition for the direct problem of finding the vel…
Random dynamics of solutions for three-dimensional stochastic globally modified Navier-Stokes equations on unbounded Poincaré domains
Kush Kinra, Manil T. Mohan
In this article, we consider a novel version of three-dimensional (3D) globally modified Navier-Stokes (GMNS) system introduced by [Caraballo et. al., Adv. Nonlinear Stud. (2006),…
Non-uniqueness of Hölder continuous solutions for stochastic Euler and Hypodissipative Navier-Stokes equations
Kush Kinra, Ujjwal Koley
We construct infinitely many Hölder continuous, global-in-time, and stationary solutions to the stochastic Euler equations and the hypodissipative Navier-Stokes equations, taking v…
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…
Feedback stabilization of Convective Brinkman-Forchheimer Extended Darcy equations
Sagar Gautam, Kush Kinra, Manil T. Mohan
In this article, the following controlled convective Brinkman-Forchheimer extended Darcy (CBFeD) system is considered in a -dimensional torus: \begin{align*} \frac{\partial\bold…
Wong-Zakai approximation for a class of SPDEs with fully local monotone coefficients and its application
Ankit Kumar, Kush Kinra, Manil T. Mohan
In this article, we establish the \textsl{Wong-Zakai approximation} result for a class of stochastic partial differential equations (SPDEs) with fully local monotone coefficients p…
Backward uniqueness of 2D and 3D convective Brinkman-Forchheimer equations and its applications
Kush Kinra, Manil T. Mohan
In this work, we consider the two- and three-dimensional convective Brinkman-Forchheimer (CBF) equations (or damped Navier--Stokes equations) on a torus $d\in\{2,3\…
Theory of weak asymptotic autonomy of pullback stochastic weak attractors and its applications to 2D stochastic Euler equations driven by multiplicative noise
Kush Kinra, Manil T. Mohan
The two dimensional stochastic Euler equations (EE) perturbed by a linear multiplicative noise of Itô type on the bounded domain have been considered in this work. Ou…
2D and 3D convective Brinkman-Forchheimer equations perturbed by a subdifferential and applications to control problems
Sagar Gautam, Kush Kinra, Manil T. Mohan
The following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) with potential \begin{equation*} \frac{\partial \boldsymbol{y}}{\partial t}-μΔ\bol…
Asymptotically autonomous robustness in Probability of non-autonomous random attractors for stochastic convective Brinkman-Forchheimer equations on
Kush Kinra, Manil T. Mohan, Renhai Wang
This article is concerned with the \emph{asymptotically autonomous robustness} (almost surely and in probability) of non-autonomous random attractors for two stochastic versions of…
Bi-spatial random attractors, a stochastic Liouville type theorem and ergodicity for stochastic Navier-Stokes equations on the whole space
Kush Kinra, Manil T. Mohan
This article concerns the random dynamics and asymptotic analysis of the well known mathematical model, the Navier-Stokes equations. We consider the two-dimensional stochastic Navi…
Asymptotically autonomous robustness in probability of random attractors for stochastic Navier-Stokes equations on unbounded Poincaré domains
Renhai Wang, Kush Kinra, Manil T. Mohan
The asymptotically autonomous robustness of random attractors of stochastic fluid equations defined on \emph{bounded} domains has been considered in the literature. In this article…
Asymptotic Autonomy of Random Attractors in Regular Spaces for Non-autonomous Stochastic Navier-Stokes Equations
Kush Kinra, Renhai Wang, Manil T. Mohan
This article concerns the long-term random dynamics in regular spaces for a non-autonomous Navier-Stokes equation defined on a bounded smooth domain driven by multipl…
Wong-Zakai approximation and support theorem for 2D and 3D stochastic convective Brinkman-Forchheimer equations
Kush Kinra, Manil T. Mohan
In this work, we demonstrate the Wong-Zakai approximation results for two and three dimensional stochastic convective Brinkman-Forchheimer (SCBF) equations forced by Hilbert space…
-Random attractors for 2D stochastic convective Brinkman-Forchheimer equations in unbounded domains
Kush Kinra, Manil T. Mohan
The asymptotic behavior of solutions of two dimensional stochastic convective Brinkman-Forchheimer (2D SCBF) equations in unbounded domains is discussed in this work (for example,…
Martingale solution, invariant measure and ergodicity for stochastic convective Brinkman-Forchheimer equations on general domains in
Kush Kinra, Fernanda Cipriano, Manil T. Mohan
The convective Brinkman-Forchheimer equations (CBFEs) \[ \frac{\partial \boldsymbol{X}}{\partial t} - μΔ\boldsymbol{X} + (\boldsymbol{X}\cdot\nabla)\boldsymbol{X} + α\boldsymbol{X}…