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Wavelets and Two Dimensional Turbulence

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Nonlinear Processes in Physics

Part of the book series: Springer Series in ((SSNONLINEAR))

Abstract

The time evolution of an inviscid, incompressible fluid is governed by Euler’s equations for the velocity field, v̂

$$ {\widehat v_t} + \widehat v \cdot \nabla \widehat v = \nabla p $$
(1)

where

$$\begin{array}{*{20}{c}} {\widehat v = \left( {u,v} \right)\left( {\widehat x,t} \right)} \\ {\nabla \cdot \widehat v = 0} \\ {\widehat x = \left( {x,y} \right) \in D \in {R^2}} \\ {\begin{array}{*{20}{c}} {\widehat v \cdot \widehat m = 0for\widehat x \in \partial D} \\ {\begin{array}{*{20}{c}} {\widehat m \bot \partial D} \\ {\begin{array}{*{20}{c}} {t = 0}&{\widehat v = {{\widehat v}_0}\left( {\widehat x} \right)} \end{array}.} \end{array}} \end{array}} \end{array}$$

.

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Author information

Authors and Affiliations

  1. Aware, Inc., One Memorial Drive, Cambridge, MA, 02142, USA

    J. Weiss

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  1. J. Weiss
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Editor information

Editors and Affiliations

  1. Clarkson University, 13699-5815, Potsdam, NY, USA

    A. S. Fokas  & D. J. Kaup  & 

  2. University of Arizona, 85721, Tucson, AZ, USA

    A. C. Newell  & V. E. Zakharov  & 

  3. Landau Institute for Theoretical Physics, ul. Kosygina 2, 117334, Moscow, Russia

    V. E. Zakharov

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© 1993 Springer-Verlag Berlin Heidelberg

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Weiss, J. (1993). Wavelets and Two Dimensional Turbulence. In: Fokas, A.S., Kaup, D.J., Newell, A.C., Zakharov, V.E. (eds) Nonlinear Processes in Physics. Springer Series in Nonlinear Dynamics . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77769-1_60

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  • DOI: https://doi.org/10.1007/978-3-642-77769-1_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77771-4

  • Online ISBN: 978-3-642-77769-1

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