Existence of Singular Self-Similar Solutions of the Three-Dimensional Euler Equations in a Bounded Domain

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-003-0098-y ◽

2004 ◽

Vol 6 (4) ◽

pp. 389-404 ◽

Author(s):

Xinyu He

Keyword(s):

Euler Equations ◽

Bounded Domain ◽

Three Dimensional ◽

Self Similar ◽

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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 ◽

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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 ◽

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Nonexistence of pseudo-self-similar solutions to incompressible euler equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60402-5 ◽

2011 ◽

Vol 31 (6) ◽

pp. 2305-2312 ◽

Author(s):

Maria Schonbek

Keyword(s):

Euler Equations ◽

Incompressible Euler Equations ◽

Self Similar ◽

Similar Solutions ◽

Incompressible Euler

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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 ◽

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A posteriori error estimates for self-similar solutions to the Euler equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020168 ◽

2021 ◽

Vol 41 (1) ◽

pp. 113-130

Author(s):

Alberto Bressan ◽

◽

Wen Shen

Keyword(s):

Error Estimates ◽

Euler Equations ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Self Similar ◽

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Remarks on the asymptotically discretely self-similar solutions of the Navier–Stokes and the Euler equations

Nonlinear Analysis ◽

10.1016/j.na.2015.05.026 ◽

2015 ◽

Vol 125 ◽

pp. 251-259 ◽

Author(s):

Dongho Chae

Keyword(s):

Euler Equations ◽

Navier Stokes ◽

Self Similar ◽

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Self-similar solutions of the Euler equations with spherical symmetry

Nonlinear Analysis ◽

10.1016/j.na.2012.07.019 ◽

2012 ◽

Vol 75 (17) ◽

pp. 6370-6378 ◽

Author(s):

Chen-Chang Peng ◽

Wen-Ching Lien

Keyword(s):

Euler Equations ◽

Spherical Symmetry ◽

Self Similar ◽

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Self-similar solutions of three-dimensional laminar magnetohydrodynamic boundary-layer equations

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf00912731 ◽

1972 ◽

Vol 9 (4) ◽

pp. 348-357

Author(s):

G. V. Filippov ◽

V. G. Shakhov

Keyword(s):

Boundary Layer ◽

Three Dimensional ◽

Boundary Layer Equations ◽

Self Similar ◽

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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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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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