The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness

@article{Jang2016TheCV,
title={The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness},
author={Juhi Jang and Ian Tice and Yanjin Wang},
journal={SIAM J. Math. Analysis},
year={2016},
volume={48},
pages={2602-2673}
}

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant pressure. This is a free boundary problem: the interfaces between the fluids and above the upper fluid are free to move. The fluids are acted on by gravity in the bulk, and at the free interfaces we consider both the case of surface tension and the case of noâ€¦Â CONTINUE READING