Zobrazeno 1 - 10
of 331
pro vyhledávání: '"Mohan, Manil. T."'
This paper presents a mathematical analysis of the evolution of a mixture of two incompressible, isothermal fluids flowing through a porous medium in a three dimensional bounded domain. The model is governed by a coupled system of convective Brinkman
Externí odkaz:
http://arxiv.org/abs/2410.13731
Autor:
Kinra, Kush, Mohan, Manil T.
In this article, we consider a novel version of three-dimensional (3D) globally modified Navier-Stokes (GMNS) system introduced by [Caraballo et. al., Adv. Nonlinear Stud. (2006), 6:411-436], which is very significant from the perspective of determin
Externí odkaz:
http://arxiv.org/abs/2408.10426
In this work, we investigate the Central Limit Theorem (CLT) and Moderate Deviation Principle (MDP) for the stochastic generalized Burgers-Huxley (SGBH) equation with multiplicative Gaussian noise. The SGBH equation is a diffusion-convection-reaction
Externí odkaz:
http://arxiv.org/abs/2407.19107
In this article, we discuss the existence and asymptotically autonomous robustness (AAR) (almost surely) of random attractors for 3D stochastic globally modified Navier-Stokes equations (SGMNSE) on Poincar\'e domains (which may be bounded or unbounde
Externí odkaz:
http://arxiv.org/abs/2406.07460
The blow-up phenomena of stochastic semilinear parabolic equations with additive as well as linear multiplicative L\'evy noises are investigated in this work. By suitably modifying the concavity method in the stochastic context, we establish the blow
Externí odkaz:
http://arxiv.org/abs/2404.06953
In this work, we propose fully nonconforming, locally exactly divergence-free discretizations based on lowest order Crouziex-Raviart finite element and piecewise constant spaces to study the optimal control of stationary double diffusion model presen
Externí odkaz:
http://arxiv.org/abs/2403.10282
In this work, we consider the incompressible generalized Navier-Stokes-Voigt equations in a bounded domain $\mathcal{O}\subset\mathbb{R}^d$, $d\geq 2$, driven by a multiplicative Gaussian noise. The considered momentum equation is given by: \begin{al
Externí odkaz:
http://arxiv.org/abs/2403.08001
Autor:
Gautam, Sagar, Mohan, Manil T.
In this article, the following controlled convective Brinkman-Forchheimer extended Darcy (CBFeD) system is considered in a $d$-dimensional torus $\mathbb{T}^d$: \begin{align*} \frac{\partial\boldsymbol{y}}{\partial t}-\mu \Delta\boldsymbol{y}+(\bolds
Externí odkaz:
http://arxiv.org/abs/2402.19363
Autor:
Kumar, Pardeep, Mohan, Manil T.
In this article, we discuss the local exact controllability to trajectories of the following convective Brinkman-Forchheimer (CBF) equations (or damped Navier-Stokes equations) defined in a bounded domain $\Omega \subset\mathbb{R}^d$ ($d=2,3$) with s
Externí odkaz:
http://arxiv.org/abs/2402.06335
A boundary control problem for the following generalized Korteweg-de Vries-Burgers-Huxley equation: $$u_t=\nu u_{xx}-\mu u_{xxx}-\alpha u^{\delta}u_x+\beta u(1-u^{\delta})(u^{\delta}-\gamma), \ x\in[0,1], \ t>0,$$ where $\nu,\mu,\alpha,\beta>0,$ $\de
Externí odkaz:
http://arxiv.org/abs/2402.02776