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Communications in Mathematical Physics

, Volume 225, Issue 3, pp 611–632 | Cite as

A Pregenerator for Burgers Equation¶Forced by Conservative Noise

  • Sigurd Assing

Abstract:

We consider the stationarity of a Burgers equation with an external random force of gradient type in one space dimension. The expected stationary measure is the white noise measure on the space of tempered distributions. As a consequence, the nonlinearity of the formal equation u t u u x u xx x is ill-defined. Introducing a pregenerator we can formulate a generalized martingale problem leading to a meaningful version of the formal equation which was an open problem.

Keywords

White Noise Open Problem Stationary Measure Noise Measure Space Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Sigurd Assing
    • 1
  1. 1.Department of Mathematics and Statistics, University of Edinburgh, JCMB, King's Buildings, Mayfield Road, Edinburgh EH9 3JZ, UK. E-mail: assing@maths.ed.ac.ukGB

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