Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations
Keyword(s):
The Riemann problem for the two-dimensional steady pressureless isentropic relativistic Euler equations with delta initial data is studied. First, the perturbed Riemann problem with three pieces constant initial data is solved. Then, via discussing the limits of solutions to the perturbed Riemann problem, the global solutions of Riemann problem with delta initial data are completely constructed under the stability theory of weak solutions. Interestingly, the delta contact discontinuity is found in the Riemann solutions of the two-dimensional steady pressureless isentropic relativistic Euler equations with delta initial data.
2021 ◽
Vol 0
(0)
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2021 ◽
Vol 18
(03)
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pp. 701-728
2019 ◽
Vol 472
(2)
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pp. 2034-2074
1994 ◽
Vol 128
(4)
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pp. 329-358
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2018 ◽
Vol 461
(2)
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pp. 1084-1099
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