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arXiv · 1905.07851

Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

Huajun Gong·Jinkai Li·Xian-Gao Liu·Xiaotao Zhang
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Abstract

In this paper, the local well-posedness of strong solutions to the Cauchy problem of the isentropic compressible Navier-Stokes equations is proved with the initial date being allowed to have vacuum. The main contribution of this paper is that the well-posedness is established without assuming any compatibility condition on the initial data, which was widely used before in many literatures concerning the well-posedness of compressible Navier-Stokes equations in the presence of vacuum.

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Huajun Gong, Jinkai Li, Xian-Gao Liu, Xiaotao Zhang. 2019-05-20. Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. https://arxiv.org/abs/1905.07851

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