5 papers
Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation
Saeed Ahmed, Javed Hussain
In this paper, we study the well-posedness of the nonlinear deterministic constrained modified Swift-Hohenberg equation; this equation belongs to class of amplitude equations which…
Some dynamical properties of constrained Modified Swift-Hohenberg Equation
Saeed Ahmed, Javed Hussain
In this paper, we have studied the long-term behavior for the projected deterministic constrained modified Swift-Hohenberg equation with constraints and Dirichlet boundary conditio…
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.…
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…
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…