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== Nike Air Force One Nz  The Perse.His mum Maureen said ==
In [[mathematics]], '''Chaplygin's equation''', named after [[Sergei Alekseevich Chaplygin]], is a [[partial differential equation]] useful in the study of [[transonic]] [[fluid mechanics|flow]].<ref>{{cite book|last1=Landau|first1=L. D.|authorlink1=Lev Landau|last2=Lifshitz|first2=E. M.|authorlink2=Evgeny Lifshitz|title=Fluid Mechanics|edition=2|year=1982|publisher=Pergamon Press|page=432}}</ref> It is


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:<math>
 
\Psi_{\theta\theta}+
  <li>[http://www.syygax.com/forum.php?mod=viewthread&tid=927726&fromuid=35739 http://www.syygax.com/forum.php?mod=viewthread&tid=927726&fromuid=35739]</li>
\frac{v^2}{1-\frac{v^2}{c^2}}\Psi_{vv}+v\Psi_v=0.</math>
 
 
  <li>[http://www.thomassankara.net/spip.php?article233&date=2005-01&artpage=5-7/ http://www.thomassankara.net/spip.php?article233&date=2005-01&artpage=5-7/]</li>
Here, <math>c=c(v)</math> is the [[speed of sound]], determined by the [[equation of state]] of the fluid and [[Bernoulli's principle]].
 
 
  <li>[http://boldandambitious.com/profile.php?id=184 http://boldandambitious.com/profile.php?id=184]</li>
==References==
 
{{Reflist}}
  <li>[http://c987547.s08.108198.com/forum.php?mod=viewthread&tid=696106 http://c987547.s08.108198.com/forum.php?mod=viewthread&tid=696106]</li>
 
 
{{DEFAULTSORT:Chaplygin's Equation}}
  <li>[http://www.zjzgol.com/news/html/?71934.html http://www.zjzgol.com/news/html/?71934.html]</li>
[[Category:Partial differential equations]]
 
[[Category:Equations]]
</ul>

Latest revision as of 17:07, 13 March 2013

In mathematics, Chaplygin's equation, named after Sergei Alekseevich Chaplygin, is a partial differential equation useful in the study of transonic flow.[1] It is

Ψθθ+v21v2c2Ψvv+vΨv=0.

Here, c=c(v) is the speed of sound, determined by the equation of state of the fluid and Bernoulli's principle.

References

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