A random‐walk interpretation of the incompressible navier‐stokes equations

Charles S. Peskin

Research output: Contribution to journalArticle

Abstract

We introduce a stochastic process that roughly corresponds to a random walk of a single molecule in an incompressible fluid, and we consider the force (per unit volume) exerted by such a “molecule” on the rest of the fluid. Averaging this force over an ensemble of such molecules and taking an appropriate limit, we obtain the Navier‐Stokes equations. The origin of time‐irreversibility in these equations is discussed in terms of the model.

Original languageEnglish (US)
Pages (from-to)845-852
Number of pages8
JournalCommunications on Pure and Applied Mathematics
Volume38
Issue number6
DOIs
Publication statusPublished - 1985

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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