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

2019/05/23 by Guilong Gui, Chao Wang, Gui, Guilong +3
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.1905.09456

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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