19 citations · 50 across the 31 of their papers we have counts for
6 papers · 1 filter
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…