On the Solutions for the Conserved Kuramoto–Sivashinsky Equation

Abstract The conserved Kuramoto–Sivashinsky equation has been derived in the context of crystal growth. In this paper, we study the existence, uniqueness, and stability with respect to the initial data of the initial value problem.

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Publication Details

Journal
Milan Journal of Mathematics
Published
2025-03-15
DOI
https://doi.org/10.1007/s00032-025-00413-3
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
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article

On the Solutions for the Conserved Kuramoto–Sivashinsky Equation

Lorenzo di Ruvo, Giuseppe Maria Coclite
Milan Journal of Mathematics
Nonlinear Dynamics and Pattern Formation
article

On the Solutions for the Conserved Kuramoto–Sivashinsky Equation

Lorenzo di Ruvo, Giuseppe Maria Coclite
article en

Abstract

Abstract The conserved Kuramoto–Sivashinsky equation has been derived in the context of crystal growth. In this paper, we study the existence, uniqueness, and stability with respect to the initial data of the initial value problem.

Milan Journal of MathematicsVol. 93(1)
University of Bari Aldo Moro (IT), Polytechnic University of Bari (IT)
Openalex Percentile: Top 96%
Nonlinear Dynamics and Pattern Formation
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On the Solutions for the Conserved Kuramoto–Sivashinsky Equation — Lorenzo di Ruvo, Giuseppe Maria Coclite · Milan Journal of Mathematics (2025) | TGRS Research Map | TGRS