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Renormalization in dispersive and dissipative equation

โœ Scribed by Chiu-Ya Lan; Chi-Kun Lin

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
325 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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.

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