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D'Alembert–Euler condition : ウィキペディア英語版
D'Alembert–Euler condition

In mathematics and physics, especially the study of mechanics and fluid dynamics, the d'Alembert-Euler condition is a requirement that the streaklines of a flow are irrotational. Let x = x(X,''t'') be the coordinates of the point x into which X is carried at time ''t'' by a (fluid) flow. Let \ddot} be the second material derivative of x. Then the d'Alembert-Euler condition is:
:\mathrm\ \mathbf=\mathbf. \,
The d'Alembert-Euler condition is named for Jean le Rond d'Alembert and Leonhard Euler who independently first described its use in the mid-18th century. It is not to be confused with the Cauchy–Riemann conditions.
==References==

* See sections 45–48.
*(d'Alembert–Euler conditions ) on the Springer Encyclopedia of Mathematics

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