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author:

Sheng, S. (Sheng, S..) [1] | Shao, Z. (Shao, Z..) [2]

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Scopus

Abstract:

In this paper, we investigate the vanishing adiabatic exponent limits of the Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term. The formation of delta shock waves and vacuum states is identified and analyzed as the adiabatic exponent vanishes. Unlike the homogeneous case, the Riemann solutions are no longer self-similar. We rigorously justify that, as the adiabatic exponent vanishes, the Riemann solutions to the isentropic Euler equations for power law with a Coulomb-like friction term converge to the Riemann solutions to the zero pressure gas dynamics model with a body force. Moreover, we also give some numerical results to confirm the theoretical analysis. © 2019 Author(s).

Keyword:

Community:

  • [ 1 ] [Sheng, S.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China
  • [ 2 ] [Shao, Z.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, 350108, China

Reprint 's Address:

  • [Sheng, S.]College of Mathematics and Computer Science, Fuzhou UniversityChina

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Source :

Journal of Mathematical Physics

ISSN: 0022-2488

Year: 2019

Issue: 10

Volume: 60

1 . 3 1 7

JCR@2019

1 . 2 0 0

JCR@2023

ESI HC Threshold:138

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 20

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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