Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation
Analysis of PDEs
2025-07-22 v2 Functional Analysis
Abstract
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 describe the appearance of pattern formation in nature. The proof for existence and uniqueness is based on the Faedo-Galerkin compactness method.
Cite
@article{arxiv.2507.09501,
title = {Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation},
author = {Saeed Ahmed and Javed Hussain},
journal= {arXiv preprint arXiv:2507.09501},
year = {2025}
}