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20102026
most citedStochastic convective Brinkman-Forchheimer equations on general Unbounded Domains

19 citations · 91 across the 104 of their papers we have counts for

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Showing 2025 · math.APShow all

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math.AP2025

Well-posedness and the Łojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan +1

We establish the global well-posedness of the valued strong solution to a nonlinear heat equation with constraints on a \textit{Poincaré domain} $\bO\subset \R^d$ whose boun…

math.AP2025

Well-posedness of stationary 2D and 3D convective Brinkman-Forchheimer extended Darcy Hemivariational inequalities

Manil T. Mohan

This study addresses the well-posedness of a hemivariational inequality derived from the convective Brinkman-Forchheimer extended Darcy (CBFeD) model in both two and three dimensio…

math.AP2025

Well-posedness of a boundary hemivariational inequality for stationary and non-stationary 2D and 3D convective Brinkman-Forchheimer equations

Jyoti Jindal, Sagar Gautam, Manil T. Mohan

This paper investigates boundary hemivariational inequality problems associated with both stationary and non-stationary two and three-dimensional convective Brinkman-Forchheimer eq…

math.AP2025

Global well-posedness and Asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

Ashish Bawalia, Zdzisław Brzeźniak, Manil T. Mohan

We prove the global existence and the uniqueness of the valued () strong solutions of a nonlinear heat equation with constraints over bounded doma…

math.AP2025

Inverse problem for wave equation of memory type with acoustic boundary conditions: Global solvability

Zhanna D. Totieva, Kush Kinra, Manil T. Mohan

In this article, we study the one-dimensional inverse problem of determining the memory kernel by the integral overdetermination condition for the direct problem of finding the vel…

math.AP2025

Stabilizability of 2D and 3D Navier-Stokes equations with memory around a non-constant steady state

Wasim Akram, Manika Bag, Manil T. Mohan

In this article, we investigate the stabilizability of the two- and three-dimensional Navier-Stokes equations with memory effects around a non-constant steady state using a localiz…