scholarly journals Time-Periodic Linearized Solutions of the Compressible Euler Equations and a Problem of Small Divisors

2011 ◽  
Vol 43 (1) ◽  
pp. 1-49 ◽  
Author(s):  
Blake Temple ◽  
Robin Young
Keyword(s):  
Euler Equations ◽  
Compressible Euler Equations ◽  
Small Divisors ◽  
Compressible Euler ◽  
Time Periodic

Time periodic solution to the compressible Euler equations with damping in a periodic domain

Nonlinearity ◽  
2016 ◽  
Vol 29 (7) ◽  
pp. 2024-2049
Author(s):  
Zhong Tan ◽  
Qiuju Xu ◽  
Huaqiao Wang
Keyword(s):  
Periodic Solution ◽  
Euler Equations ◽  
Compressible Euler Equations ◽  
Periodic Domain ◽  
Compressible Euler ◽  
Time Periodic ◽  
Time Periodic Solution

scholarly journals Singularity Formation for the Compressible Euler Equations

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

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

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

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

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

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

2008 ◽  
Vol 69 (3) ◽  
pp. 720-742 ◽  
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

Local existence with low regularity for the 2D compressible Euler equations

2021 ◽  
Vol 18 (03) ◽  
pp. 701-728
Author(s):  
Huali Zhang
Keyword(s):  
Cauchy Problem ◽  
Initial Data ◽  
Euler Equations ◽  
Local Existence ◽  
Compressible Euler Equations ◽  
Two Dimensional ◽  
Spatial Derivative ◽  
Compressible Euler ◽  
The Cauchy Problem ◽  
Local Solutions

We prove the local existence, uniqueness and stability of local solutions for the Cauchy problem of two-dimensional compressible Euler equations, where the initial data of velocity, density, specific vorticity [Formula: see text] and the spatial derivative of specific vorticity [Formula: see text].

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