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

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

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 …