Javed Hussain

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20242026

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math.AP2026

Spectral Selection in Sphere-Constrained Flows Generated by Polynomials of the Dirichlet Laplacian

Javed Hussain

Let $Ω \subset R^{d}$ be a bounded smooth domain and let $- Δ_{D}$ be the positive Dirichlet Laplacian on $L^{2} (Ω)$ . For a real polynomial $p$ with positive leading coefficient, w…

math.AP2025

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…

math.AP2025

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…