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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Singularity formation for compressible Euler equations with time-dependent damping

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2021062 ◽

2021 ◽

Vol 41 (10) ◽

pp. 4921

Author(s):

Ying Sui ◽

Huimin Yu

Keyword(s):

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Compressible Euler

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Finite-time singularity formation for C1 solutions to the compressible Euler equations with time-dependent damping

Applicable Analysis ◽

10.1080/00036811.2019.1659961 ◽

2019 ◽

pp. 1-12

Author(s):

Ka Luen Cheung ◽

Sen Wong

Keyword(s):

Euler Equations ◽

Finite Time ◽

Time Dependent ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Time Singularity ◽

Compressible Euler ◽

Finite Time Singularity

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Vacuum and singularity formation problem for compressible Euler equations with general pressure law and time-dependent damping

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103472 ◽

2022 ◽

Vol 65 ◽

pp. 103472

Author(s):

Ying Sui ◽

Huimin Yu

Keyword(s):

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Formation Problem ◽

Compressible Euler

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Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-1287-8 ◽

2020 ◽

Vol 71 (2) ◽

Author(s):

Ka Luen Cheung ◽

Sen Wong

Keyword(s):

Euler Equations ◽

Finite Time ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Time Singularity ◽

Generalized Chaplygin Gas ◽

Compressible Euler ◽

Finite Time Singularity

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Singularity formation for the 1D compressible Euler equations with variable damping coefficient

Nonlinear Analysis ◽

10.1016/j.na.2017.12.013 ◽

2018 ◽

Vol 170 ◽

pp. 70-87 ◽

Author(s):

Yuusuke Sugiyama

Keyword(s):

Euler Equations ◽

Damping Coefficient ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Compressible Euler ◽

Variable Damping

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Singularity formation for the compressible Euler equations with general pressure law

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.02.001 ◽

2016 ◽

Vol 438 (1) ◽

pp. 59-72 ◽

Author(s):

Hualin Zheng

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Compressible Euler

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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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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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Global BV Solutions of Compressible Euler Equations with Spherical Symmetry and Damping

Journal of Differential Equations ◽

10.1006/jdeq.1998.3427 ◽

1998 ◽

Vol 146 (1) ◽

pp. 203-225 ◽

Author(s):

Ling Hsiao ◽

Tao Luo ◽

Tong Yang

Keyword(s):

Euler Equations ◽

Spherical Symmetry ◽

Compressible Euler Equations ◽

Compressible Euler

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