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Euler's Equations of Inviscid Motion


The system of partial differential equations describing fluid flow in the absence of viscosity, given by

 (partialu)/(partialt)+u·del u=-(del P)/rho,

where u is the fluid velocity, P is the pressure, and rho is the fluid density.


See also

Convective Derivative, Euler Differential Equation, Navier-Stokes Equations

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References

Landau, L. D. and Lifschitz, E. M. Fluid Mechanics, 2nd ed. Oxford, England: Pergamon Press, p. 3, 1982.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 138, 1997.

Referenced on Wolfram|Alpha

Euler's Equations of Inviscid Motion

Cite this as:

Weisstein, Eric W. "Euler's Equations of Inviscid Motion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EulersEquationsofInviscidMotion.html

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