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Title: Well-posedness of free boundary hard phase fluids in Minkowski background and their Newtonian limit
The hard phase model describes a relativistic barotropic irrotational fluid with sound speed equal to the speed of light. In this paper, we prove the local well-posedness for this model in the Minkowski background with free boundary. Moreover, we show that as the speed of light tends to infinity, the solution of this model converges to the solution of the corresponding Newtonian free boundary problem for incompressible fluids. In the appendix we explain how to extend our proof to the general barotropic fluid free boundary problem.  more » « less
Award ID(s):
1764112
PAR ID:
10335360
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Cambridge journal of mathematics
Volume:
9 (2021)
Issue:
2
ISSN:
2168-0949
Page Range / eLocation ID:
269 – 350
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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