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Motion of a slightly compressible fluid.

Abstract：

:We show that the motion of a slightly compressible fluid is near that of an incompressible fluid. That is, for a given initial velocity field, the motion of a compressible fluid with large sound speed is near to that of an idealized incompressible fluid. We consider the compressible fluid motion in Lagrangian coordinates and show that it can be defined by two functions giving the kinetic and potential energies. The minimal set for the potential energy is the configuration space of incompressible fluid motion. If the equation of state of the compressible fluid is changed so that the sound speed increases, the minimum of the potential energy function becomes sharper. The compressible fluid motion approaches a curve in the minimal set and this curve defines an incompressible fluid motion.

journal_name

Proc Natl Acad Sci U S A

journal_title

Proceedings of the National Academy of Sciences of the United States of America

authors

Ebin DG

doi

10.1073/pnas.72.2.539

subject

Has Abstract

pub_date

1975-02-01 00:00:00

pages

539-42

issue

2

eissn

0027-8424

issn

1091-6490

journal_volume

72

pub_type

杂志文章

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