The Riemann Problem for the Euler Equations with Nonconvex and Nonsmooth Equation of State: Construction of Wave Curves

Siegfried Müller; Alexander Voss

doi:10.1137/040619909

The Riemann Problem for the Euler Equations with Nonconvex and Nonsmooth Equation of State: Construction of Wave Curves

SIAM Journal on Scientific Computing ◽

10.1137/040619909 ◽

2006 ◽

Vol 28 (2) ◽

pp. 651-681 ◽

Cited By ~ 27

Author(s):

Siegfried Müller ◽

Alexander Voss

Keyword(s):

Equation Of State ◽

Euler Equations ◽

Riemann Problem ◽

Nonsmooth Equation ◽

State Construction

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Interactions of Rarefaction Waves and Rarefaction Shocks of the Two-Dimensional Compressible Euler Equations with General Equation of State

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-09999-9 ◽

2021 ◽

Author(s):

Geng Lai

Keyword(s):

Equation Of State ◽

Euler Equations ◽

General Equation ◽

Compressible Euler Equations ◽

Two Dimensional ◽

Rarefaction Waves ◽

Compressible Euler

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Transonic Shock Formation in a Rarefaction Riemann Problem for the 2D Compressible Euler Equations

SIAM Journal on Applied Mathematics ◽

10.1137/07070632x ◽

2008 ◽

Vol 69 (3) ◽

pp. 720-742 ◽

Cited By ~ 32

Author(s):

James Glimm ◽

Xiaomei Ji ◽

Jiequan Li ◽

Xiaolin Li ◽

Peng Zhang ◽

...

Keyword(s):

Euler Equations ◽

Riemann Problem ◽

Compressible Euler Equations ◽

Shock Formation ◽

Transonic Shock ◽

Compressible Euler

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The Riemann problem for the two-dimensional zero-pressure Euler equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.12.046 ◽

2019 ◽

Vol 472 (2) ◽

pp. 2034-2074

Author(s):

Yicheng Pang

Keyword(s):

Euler Equations ◽

Riemann Problem ◽

Two Dimensional

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Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2013-01290-x ◽

2013 ◽

Vol 71 (3) ◽

pp. 509-540 ◽

Cited By ~ 14

Author(s):

Maren Hantke ◽

Wolfgang Dreyer ◽

Gerald Warnecke

Keyword(s):

Phase Transition ◽

Exact Solutions ◽

Euler Equations ◽

Riemann Problem ◽

Two Phase Flows ◽

Two Phase ◽

Isothermal Euler Equations

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Grüneisen equation of state for solids and solution of the Riemann problem

Shock Waves ◽

10.1007/978-3-642-77648-9_70 ◽

1992 ◽

pp. 453-458 ◽

Cited By ~ 1

Author(s):

K. Nagayama ◽

T. Murakami

Keyword(s):

Equation Of State ◽

Riemann Problem

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Self-Similar Solutions to the Spherically-Symmetric Euler Equations with a Two-Constant Equation of State

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-019-0305-z ◽

2019 ◽

Vol 50 (1) ◽

pp. 35-49

Author(s):

Qitao Zhang ◽

Yanbo Hu

Keyword(s):

Equation Of State ◽

Euler Equations ◽

Spherically Symmetric ◽

Self Similar ◽

Global solutions to a class of two-dimensional Riemann problems for the Euler equations with a general equation of state

Indiana University Mathematics Journal ◽

10.1512/iumj.2019.68.7782 ◽

2019 ◽

Vol 68 (5) ◽

pp. 1409-1464 ◽

Cited By ~ 1

Author(s):

Geng Lai

Keyword(s):

Equation Of State ◽

Euler Equations ◽

General Equation ◽

Global Solutions ◽

Two Dimensional ◽

Riemann Problems

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Numerical method of the Riemann problem for two-dimensional multi-fluid flows with general equation of state

Chinese Physics ◽

10.1088/1009-1963/15/1/005 ◽

2006 ◽

Vol 15 (1) ◽

pp. 22-34 ◽

Cited By ~ 3

Author(s):

Bai Jing-Song ◽

Zhang Zhan-Ji ◽

Li Ping ◽

Zhong Min

Keyword(s):

Equation Of State ◽

Numerical Method ◽

Riemann Problem ◽

General Equation ◽

Fluid Flows ◽

Two Dimensional

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Special relativistic effects revealed in the Riemann problem for three-dimensional relativistic Euler equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-010-0093-0 ◽

2010 ◽

Vol 62 (2) ◽

pp. 281-304 ◽

Cited By ~ 11

Author(s):

Yongcai Geng ◽

Yachun Li

Keyword(s):

Euler Equations ◽

Riemann Problem ◽

Three Dimensional ◽

Relativistic Effects ◽

Relativistic Euler Equations

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Exact solution of the hydrodynamical Riemann problem with nonzero tangential velocities and the ultrarelativistic equation of state

Physical Review E ◽

10.1103/physreve.81.046313 ◽

2010 ◽

Vol 81 (4) ◽

Cited By ~ 5

Author(s):

Patryk Mach ◽

Małgorzata Piȩtka

Keyword(s):

Exact Solution ◽

Equation Of State ◽

Riemann Problem

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