Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation

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.

Publication Details

Journal
ArXiv.org
Published
2025-07-13
Primary Topic
Stability and Controllability of Differential Equations
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article
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article

Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation

ArXiv.org
Stability and Controllability of Differential Equations
article

Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 46%
Stability and Controllability of Differential Equations
Open Access PDFOpenAlex
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Faedo-Galerkin Approximations for the nonlinear Deterministic Constrained Modified Swift-Hohenberg Equation · ArXiv.org (2025) | TGRS Research Map | TGRS