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arXiv · 1401.6624

Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations

Engui Fan·Manwai Yuen
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Abstract

For the 2D and 3D Euler equations, their existing exact solutions are often in linear form with respect to variables x,y,z. In this paper, the Clarkson-Kruskal reduction method is applied to reduce the 2D incompressible Euler equations to a system of completely solvable ordinary equations, from which several novel nonlinear exact solutions with respect to the variables x and y are found.

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Engui Fan, Manwai Yuen. 2014-01-26. Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations. https://doi.org/10.1016/j.physleta.2013.12.045

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