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arXiv · 1608.07464

Bernoulli's type Law of Euler Equations on Sobolev Space in $\mathbb{R}^{3}$

Wei Jin·Xixia Ma
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Abstract

In this paper, we discuss Bernoulli's principle to the 3-dimensional incompressible Euler equation in a bounded local Lipschitz domain $\Omega\subset\mathbb{R}^{3}$ with a Lipschitz boundary. Using topological properties of the level set and Morse-Sard theorem, we will prove Bernoulli's principle on Sobolev space.

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Wei Jin, Xixia Ma. 2016-07-29. Bernoulli's type Law of Euler Equations on Sobolev Space in $\mathbb{R}^{3}$. https://arxiv.org/abs/1608.07464

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