19 citations · 91 across the 104 of their papers we have counts for
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Small time asymptotics for a class of stochastic partial differential equations with fully monotone coefficients forced by multiplicative Gaussian noise
Ankit Kumar, Manil T. Mohan
The main goal of this article is to study the effect of small, highly nonlinear, unbounded drifts (small time large deviation principle (LDP) based on exponential equivalence argum…
Large deviation principle for a class of stochastic partial differential equations with fully local monotone coefficients perturbed by Lévy noise
Ankit Kumar, Manil T. Mohan
The asymptotic analysis of a class of stochastic partial differential equations (SPDEs) with fully locally monotone coefficients covering a large variety of physical systems, a wid…
Existence of global and explosive mild solutions of fractional reaction-diffusion system of semilinear SPDEs with fractional noise
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we investigate the existence and finite-time blow-up for the solution of a reaction-diffusion system of semilinear stochastic partial differential equations (SPDEs)…
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…
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…
Blow-up estimates for a system of semilinear SPDEs driven by mixed fractional Brownian motions
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we obtain the existence and finite-time blow-up for the solution to a system of semilinear stochastic partial differential equations driven by a combination of Brown…
Lower and upper bounds for the explosion times of a system of semilinear SPDEs
S. Sankar, Manil T. Mohan, S. Karthikeyan
In this paper, we obtain lower and upper bounds for the blow-up times to a system of semilinear stochastic partial differential equations. Under suitable assumptions, lower and upp…
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…
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…
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…
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.…
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…
Absolute continuity of the solution to stochastic generalized Burgers-Huxley equation
Ankit Kumar, Manil T. Mohan
The present work deals with the global solvability as well as absolute continuity of the law of the solution to stochastic generalized Burgers-Huxley (SGBH) equation driven by mult…