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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.PR2025
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…
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…