Delta Shock Wave in a Perfect Fluid Model with Zero Pressure
2019 ◽
Vol 74
(9)
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pp. 767-775
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AbstractThe Riemann problem for a perfect fluid model with zero pressure is considered, where the external force is a given continuous function of time. All of exact solutions are given. In particular, a vacuum occurs in the solutions, although initial data stay far away from the vacuum. It is shown that a delta shock wave in which density and internal energy contain a Dirac delta function develops in the solutions. The position, velocity, and weights of the delta shock wave are presented explicitly. Moreover, all of the solutions are not self-similar because of the presence of the external force.
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2018 ◽
Vol 99
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pp. 311-318
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2014 ◽
Vol 257
(12)
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pp. 4369-4402
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2003 ◽
Vol 210
(1)
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pp. 165-187
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2020 ◽
Vol 19
(5)
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pp. 2641-2653
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2008 ◽
Vol 63
(3)
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pp. 473-546
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