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20182023
most citedAsymptotic analysis of the 2D convective Brinkman-Forchheimer equations in unbounded domains: Global attractors and upper semicontinuity

7 citations · 11 across the 24 of their papers we have counts for

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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.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.AP2021

Well-posedness of an inverse problem for two and three dimensional convective Brinkman-Forchheimer equations with the final 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.AP20211 cited

Existence and upper semicontinuity of random pullback attractors for 2D and 3D non-autonomous stochastic convective Brinkman-Forchheimer equations on whole domain

Kush Kinra, Manil T. Mohan

In this work, we analyze the long time behavior of 2D as well as 3D convective Brinkman-Forchheimer (CBF) equations and its stochastic counter part with non-autonomous deterministi…

math.AP2021

A local in time existence and uniqueness result of an inverse problem for the Kelvin-Voigt fluids

Pardeep Kumar, Kush Kinra, Manil T. Mohan

In this paper, we consider an inverse problem for three dimensional viscoelastic fluid flow equations, which arises from the motion of Kelvin-Voigt fluids in bounded domains (a hyp…