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math.PR2026
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…
math.PR2025
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} - μÎ\boldsymbol{X} + (\boldsymbol{X}\cdot\nabla)\boldsymbol{X} + α\boldsymbol…
math.PR2025
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 $\mathc…