activity
20182022
most citedAsymptotic analysis of the 2D convective Brinkman-Forchheimer equations in unbounded domains: Global attractors and upper semicontinuity

7 citations · 11 across the 23 of their papers we have counts for

collaborators

34 papers

math.PR2022

Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Lévy noise

Ankit Kumar, Manil T. Mohan

In this article, we consider the following class of stochastic partial differential equations (SPDE): \begin{equation*} \left\{\begin{aligned}\mathrm{d} \mathbf{X}(t)&=\mathrm{A}(t…

math.AP2022

Existence, uniqueness and stability of an inverse problem for two-dimensional convective Brinkman-Forchheimer equations with the integral overdetermination

Pardeep Kumar, Manil T. Mohan

In this article, we study an inverse problem for the following convective Brinkman-Forchheimer (CBF) equations: \begin{align*} \boldsymbol{u}_t-μΔ\boldsymbol{u}+(\boldsymbol{u}\cdo…

math.PR2022

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…

math.AP2022

Dynamic Programming of Stochastic 2-D Navier-Stokes Equations Forced by Levy Noise

Manil. T. Mohan, K. Sakthivel, Sivaguru S. Sritharan

In this article, we study optimal feedback control synthesis of stochastic 2D Navier-Stokes equations perturbed Levy type noise with distributed stochastic control process acting o…

math.AP2022

Dynamic Programming of Stochastic Burgers Equation Driven by Levy Noise

Manil T. Mohan, K. Sakthivel, Sivaguru S. Sritharan

In this work, we study the optimal control of stochastic Burgers equation perturbed by Gaussian and Levy type noises with distributed control process acting on the state equation.…

math.PR2022

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…