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math.PR2025
Martingale Solutions of Stochastic Constrained Modified Swift-Hohenberg Equation
Saeed Ahmed, Javed Hussain
In this paper, we aim to prove the existence of global Martingale solution to Stochastic Constrained Modified Swift-Hohenberg Equation driven by stratonovich multiplicative noise.…
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.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…