Articles with "riemann solutions" as a keyword



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Wave Interactions and Stability of Riemann Solutions of the Aw–Rascle Model for Generalized Chaplygin Gas

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Published in 2018 at "Acta Applicandae Mathematicae"

DOI: 10.1007/s10440-017-0135-0

Abstract: In this paper, we mainly study the interactions of the elementary waves of the Aw–Rascle model for the generalized Chaplygin gas. With the characteristic analysis method, the solutions are obtained constructively when the initial data… read more here.

Keywords: generalized chaplygin; chaplygin gas; model generalized; riemann solutions ... See more keywords
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The intrinsic phenomena of cavitation and concentration in Riemann solutions for the isentropic two-phase model with the logarithmic equation of state

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Published in 2021 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0058618

Abstract: The Riemann solutions for a simplified two-phase flow model with the logarithmic equation of state are obtained in fully explicit forms for all four possible different structures. The intrinsic phenomena of cavitation and concentration are… read more here.

Keywords: riemann solutions; two phase; logarithmic equation; equation state ... See more keywords
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The Convergence of Riemann Solutions to the Modified Chaplygin Gas Equations with a Coulomb-Like Friction Term as the Pressure Vanishes

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Published in 2018 at "Advances in Mathematical Physics"

DOI: 10.1155/2018/3174719

Abstract: This paper studies the convergence of Riemann solutions to the inhomogeneous modified Chaplygin gas equations as the pressure vanishes. The delta shock waves and vacuum states occur as the pressure vanishes. The Riemann solutions of… read more here.

Keywords: riemann solutions; gas equations; modified chaplygin; chaplygin gas ... See more keywords