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arXiv · 1905.09456

Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

Guilong Gui·Chao Wang·Yuxi Wang
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Abstract

In this paper, we consider the 3-D motion of viscous gas with the vacuum free boundary. We use the conormal derivative to establish local well-posedness of this system. One of important advantages in the paper is that we do not need any strong compatibility conditions on the initial data in terms of the acceleration.

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Guilong Gui, Chao Wang, Yuxi Wang. 2019-05-23. Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations. https://arxiv.org/abs/1905.09456

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