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Lambert W function
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=== Inviscid flows === Applying the unusual accelerating [[Traveling wave|traveling-wave]] [[Ansatz]] in the form of <math>\rho(\eta) = \rho\big(x-\frac{at^2}{2} \big)</math> (where <math>\rho</math>, <math>\eta</math>, a, x and t are the density, the reduced variable, the acceleration, the spatial and the temporal variables) the fluid [[density]] of the corresponding [[Euler equations (fluid dynamics)|Euler equation]] can be given with the help of the W function.<ref>{{Cite journal |last1=Barna |first1=I.F. |last2=Mátyás |first2=L. |date=2013 |title=Analytic solutions for the one-dimensional compressible Euler equation with heat conduction closed with different kind of equation of states |url=http://mat76.mat.uni-miskolc.hu/mnotes/article/694 |journal=Miskolc Mathematical Notes |volume=13 |issue=3 |pages=785–799 |arxiv=1209.0607 |doi=10.18514/MMN.2013.694}}</ref>
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