Self-Similar Solutions to the Compressible Euler Equations and their Instabilities

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106014 ◽

2021 ◽

pp. 106014

Author(s):

Anxo Biasi

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Self Similar ◽

Similar Solutions

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On initial‐value and self‐similar solutions of the compressible Euler equations

Physics of Fluids ◽

10.1063/1.869050 ◽

1996 ◽

Vol 8 (10) ◽

pp. 2650-2655 ◽

Author(s):

Ravi Samtaney ◽

D. I. Pullin

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Initial Value ◽

Compressible Euler ◽

Self Similar ◽

Similar Solutions

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Computational Methods for Self-similar Solutions of the Compressible Euler Equations

Journal of Computational Physics ◽

10.1006/jcph.1996.5639 ◽

1997 ◽

Vol 132 (2) ◽

pp. 327-345 ◽

Author(s):

Ravi Samtaney

Keyword(s):

Euler Equations ◽

Computational Methods ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Self Similar ◽

Similar Solutions

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Generalized Noh self-similar solutions of the compressible Euler equations for hydrocode verification

Journal of Computational Physics ◽

10.1016/j.jcp.2018.07.054 ◽

2018 ◽

Vol 374 ◽

pp. 843-862 ◽

Author(s):

A.L. Velikovich ◽

J.L. Giuliani ◽

S.T. Zalesak

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Self Similar ◽

Similar Solutions

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Rotational and self-similar solutions for the compressible Euler equations in R3

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.06.027 ◽

2015 ◽

Vol 20 (3) ◽

pp. 634-640 ◽

Author(s):

Manwai Yuen

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Self Similar ◽

Similar Solutions

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Nonlinear stability of spherical self-similar flows to the compressible Euler equations

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2013-01329-9 ◽

2013 ◽

Vol 72 (1) ◽

pp. 109-136 ◽

Author(s):

Seung-Yeal Ha ◽

Hsiu-Chuan Huang ◽

Wen-Ching Lien

Keyword(s):

Euler Equations ◽

Nonlinear Stability ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Self Similar ◽

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Vortical and self-similar flows of 2D compressible Euler equations

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.11.008 ◽

2014 ◽

Vol 19 (7) ◽

pp. 2172-2180 ◽

Author(s):

Manwai Yuen

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Self Similar ◽

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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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Singularity Formation for the Compressible Euler Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/16m1062818 ◽

2017 ◽

Vol 49 (4) ◽

pp. 2591-2614 ◽

Author(s):

Geng Chen ◽

Ronghua Pan ◽

Shengguo Zhu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Compressible Euler

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Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20282 ◽

2009 ◽

Vol 62 (11) ◽

pp. 1551-1594 ◽

Author(s):

Yuri Trakhinin

Keyword(s):

Boundary Condition ◽

Free Boundary ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Local Existence ◽

Compressible Euler Equations ◽

Compressible Euler

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Global stability to steady supersonic solutions of the 1-D compressible Euler equations with frictions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124761 ◽

2021 ◽

Vol 495 (2) ◽

pp. 124761

Author(s):

Fenglun Wei ◽

Jianli Liu ◽

Hairong Yuan

Keyword(s):

Global Stability ◽

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler

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