Renormalization in dispersive and dissipative equation

Chiu Ya Lan, Chi Kun Lin

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)71-75
Number of pages5
JournalApplied Mathematics Letters
Issue number1
Publication statusPublished - Jan 2002
Externally publishedYes


  • Advection
  • Diffusion
  • Dispersion
  • Renormalization
  • Turbulence

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