Renormalization in dispersive and dissipative equation

Chiu Ya Lan; Chi Kun Lin

doi:10.1016/S0893-9659(01)00095-7

Renormalization in dispersive and dissipative equation

Chiu Ya Lan
, Chi Kun Lin

National Cheng Kung University

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

Abstract

In this article, we study the turbulent diffusion of the dispersion-dissipation equations, especially the KdV-Burgers equation. Using the concept of renormalization, we prove that the renormalized equation is the diffusion equation for short-range correlation, while for long-range correlation, it is the superdiffusion equation.

Original language	English
Pages (from-to)	71-75
Number of pages	5
Journal	Applied Mathematics Letters
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/S0893-9659(01)00095-7
Publication status	Published - Jan 2002
Externally published	Yes

Keywords

Advection
Diffusion
Dispersion
Renormalization
Turbulence

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10.1016/S0893-9659(01)00095-7

Cite this

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title = "Renormalization in dispersive and dissipative equation",

abstract = "In this article, we study the turbulent diffusion of the dispersion-dissipation equations, especially the KdV-Burgers equation. Using the concept of renormalization, we prove that the renormalized equation is the diffusion equation for short-range correlation, while for long-range correlation, it is the superdiffusion equation.",

keywords = "Advection, Diffusion, Dispersion, Renormalization, Turbulence",

author = "Lan, \{Chiu Ya\} and Lin, \{Chi Kun\}",

year = "2002",

month = jan,

doi = "10.1016/S0893-9659(01)00095-7",

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AU - Lin, Chi Kun

PY - 2002/1

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N2 - In this article, we study the turbulent diffusion of the dispersion-dissipation equations, especially the KdV-Burgers equation. Using the concept of renormalization, we prove that the renormalized equation is the diffusion equation for short-range correlation, while for long-range correlation, it is the superdiffusion equation.

AB - In this article, we study the turbulent diffusion of the dispersion-dissipation equations, especially the KdV-Burgers equation. Using the concept of renormalization, we prove that the renormalized equation is the diffusion equation for short-range correlation, while for long-range correlation, it is the superdiffusion equation.

KW - Advection

KW - Diffusion

KW - Dispersion

KW - Renormalization

KW - Turbulence

UR - https://www.scopus.com/pages/publications/33748202146

U2 - 10.1016/S0893-9659(01)00095-7

DO - 10.1016/S0893-9659(01)00095-7

M3 - Article

AN - SCOPUS:33748202146

SN - 0893-9659

VL - 15

SP - 71

EP - 75

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 1

ER -

Renormalization in dispersive and dissipative equation

Abstract

Keywords

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