Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (1): 281-294.doi: 10.1016/S0252-9602(12)60017-4

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LESSER KNOWN MIRACLES OF BURGERS EQUATION

Govind Menon   

  1. Division of Applied Mathematics, Box F, Brown University, Providence, RI 02912, USA
  • Received:2011-11-07 Online:2012-01-20 Published:2012-01-20
  • Supported by:

    This material is based upon work supported by the National Science Foun-dation under grants DMS 07-04842 (CAREER) and EFRI–10-22730.

Abstract:

This article is a short introduction to the surprising appearance of Burgers equation in some basic probabilistic models.

Key words: Burgers equation, random matrix theory, kinetic theory, Dysons Brownian motion, Kerovs kinetic equation, shock clustering, integrable systems

CLC Number: 

  • 35R60
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