Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations
classification
🧮 math.AP
keywords
boundaryfreelocalvacuumwell-posednessaccelerationadvantagescompatibility
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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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