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math.PR2024
Existence of Martingale Solutions to Stochastic Constrained Heat Equation
Javed Hussain, Abdul Fatah, Saeed Ahmed
This article extends the work on stochastic constrained heat equation in \cite{brzezniak2020global}. We will show the existence of Martingale solutions to the stochastic-constraine…
math.DG2024
On the Global Solution and Invariance of nonlinear Constrained Modified Swift-Hohenberg Equation on Hilbert Manifold
Saeed Ahmed, Javed Hussain
In this paper, we are interested in proving the existence and uniqueness of the local, local maximal, and global solutions of the equation projected on the Hilbert manifold. Furthe…
math.PR2024
On the Global solution and Invariance of stochastic constrained Modified Swift-Hohenberg Equation on a Hilbert manifold
Javed Hussain, Saeed Ahmed, Abdul Fatah
This paper aims to investigate the stochastic generalization of the projected deterministic constrained modified Swift-Hohenberg equation. In particular, we prove the global well-p…