GLOBAL SOLUTIONS TO THE COMPRESSIBLE EULER EQUATIONS WITH GRAVITATIONAL SOURCE
2008 ◽
Vol 05
(02)
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pp. 317-346
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Keyword(s):
We study the compressible Euler equations in spherical symmetry with a gravitational source surrounding a solid ball. Despite its physical importance, this problem has not received much attention until now. We prove the global existence of weak solutions by constructing approximate solutions and using a modified Godunov scheme. The main point is to obtain a sup-norm bound for the approximate solutions.
2020 ◽
Vol 80
◽
pp. 26-31
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Keyword(s):
2020 ◽
Vol 17
(01)
◽
pp. 1-60
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1996 ◽
Vol 180
(1)
◽
pp. 153-193
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2017 ◽
Vol 49
(4)
◽
pp. 2591-2614
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Keyword(s):
2009 ◽
Vol 62
(11)
◽
pp. 1551-1594
◽
2021 ◽
Vol 495
(2)
◽
pp. 124761
1998 ◽
Vol 146
(1)
◽
pp. 203-225
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Keyword(s):