Long-wavelength properties of the Kuramoto-Sivashinsky equation

F. Hayot; C. Jayaprakash; Ch Josserand

doi:10.1103/PhysRevE.47.911

Long-wavelength properties of the Kuramoto-Sivashinsky equation

F. Hayot
, C. Jayaprakash
, Ch Josserand

The Ohio State University

Research output: Contribution to journal › Article › peer-review

Abstract

We study the long-wavelength properties of the one-dimensional Kuramoto-Sivashinsky equation. We determine all the parameters in the effective long-wavelength equation, interpret the phenomenological coefficients in terms of microscopic quantities, and estimate the time and length scales where the behavior crosses over from linear diffusive to that of the full nonlinear equation. We corroborate our analysis by studying variants of the model with more general linear terms.

Original language	English
Pages (from-to)	911-915
Number of pages	5
Journal	Physical Review E
Volume	47
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevE.47.911
Publication status	Published - 1 Jan 1993
Externally published	Yes

Access to Document

10.1103/PhysRevE.47.911

Cite this

@article{86dfeb759aad48ba9c266866f61d948e,

title = "Long-wavelength properties of the Kuramoto-Sivashinsky equation",

abstract = "We study the long-wavelength properties of the one-dimensional Kuramoto-Sivashinsky equation. We determine all the parameters in the effective long-wavelength equation, interpret the phenomenological coefficients in terms of microscopic quantities, and estimate the time and length scales where the behavior crosses over from linear diffusive to that of the full nonlinear equation. We corroborate our analysis by studying variants of the model with more general linear terms.",

author = "F. Hayot and C. Jayaprakash and Ch Josserand",

year = "1993",

month = jan,

day = "1",

doi = "10.1103/PhysRevE.47.911",

language = "English",

volume = "47",

pages = "911--915",

journal = "Physical Review E",

issn = "2470-0045",

number = "2",

}

TY - JOUR

T1 - Long-wavelength properties of the Kuramoto-Sivashinsky equation

AU - Hayot, F.

AU - Jayaprakash, C.

AU - Josserand, Ch

PY - 1993/1/1

Y1 - 1993/1/1

N2 - We study the long-wavelength properties of the one-dimensional Kuramoto-Sivashinsky equation. We determine all the parameters in the effective long-wavelength equation, interpret the phenomenological coefficients in terms of microscopic quantities, and estimate the time and length scales where the behavior crosses over from linear diffusive to that of the full nonlinear equation. We corroborate our analysis by studying variants of the model with more general linear terms.

AB - We study the long-wavelength properties of the one-dimensional Kuramoto-Sivashinsky equation. We determine all the parameters in the effective long-wavelength equation, interpret the phenomenological coefficients in terms of microscopic quantities, and estimate the time and length scales where the behavior crosses over from linear diffusive to that of the full nonlinear equation. We corroborate our analysis by studying variants of the model with more general linear terms.

UR - https://www.scopus.com/pages/publications/0000158288

U2 - 10.1103/PhysRevE.47.911

DO - 10.1103/PhysRevE.47.911

M3 - Article

AN - SCOPUS:0000158288

SN - 2470-0045

VL - 47

SP - 911

EP - 915

JO - Physical Review E

JF - Physical Review E

IS - 2

ER -

Long-wavelength properties of the Kuramoto-Sivashinsky equation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this