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Empirical Algorithms

  • Giovanni Gallavotti
Chapter
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

Imagine an incompressible Euler fluid in a fixed volume Ω with a (C)-regular boundary. The equations describing it are
$$\begin{gathered} (1)\underline \partial \cdot \underline u = 0\Omega in \hfill \\ (2){\underline \partial _t}\underline u + u \cdot \partial u = - {\partial ^{ - 1}}\rho - g\Omega in \hfill \\ (3)\underline u \cdot \underline n = 0\Omega in \hfill \\ (4)\underline u \left( {\xi ,0} \right) \equiv {\underline u _0}\left( {\xi ,0} \right),t = 0 \hfill \\ \end{gathered} $$
(2.1.1)
where n denotes the external normal to ∂Ω and the boundary condition (3) expresses the condition that the fluid “glides” (without friction) on the boundary of Ω.

Keywords

Euler Equation Periodic Boundary Condition Heat Equation Flux Line Vorticity Field 
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

  • Giovanni Gallavotti
    • 1
  1. 1.Dipartmento di Fisica, I.N.F.N.Università degli Studi di Roma “La Sapienza”RomaItaly

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