L1-convergence rates to the Barenblatt solution for the damped compressible Euler equations

Journal of Differential Equations ◽

10.1016/j.jde.2018.12.016 ◽

2019 ◽

Vol 266 (12) ◽

pp. 7890-7908

Author(s):

Shifeng Geng ◽

Feimin Huang

Keyword(s):

Euler Equations ◽

Convergence Rates ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Barenblatt Solution

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$$L^{1}$$ convergences and convergence rates of approximate solutions for compressible Euler equations near vacuum

Research in the Mathematical Sciences ◽

10.1007/s40687-020-00205-8 ◽

2020 ◽

Vol 7 (2) ◽

Author(s):

Hsin-Yi Lee ◽

Jay Chu ◽

John M. Hong ◽

Ying-Chieh Lin

Keyword(s):

Euler Equations ◽

Convergence Rates ◽

Approximate Solutions ◽

Compressible Euler Equations ◽

Compressible Euler

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Global existence and convergence to the modified Barenblatt solution for the compressible Euler equations with physical vacuum and time-dependent damping

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01866-7 ◽

2020 ◽

Vol 60 (1) ◽

Author(s):

Xinghong Pan

Keyword(s):

Global Existence ◽

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Compressible Euler ◽

Barenblatt Solution

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L 1 Convergence to the Barenblatt Solution for Compressible Euler Equations with Damping

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-010-0355-1 ◽

2010 ◽

Vol 200 (2) ◽

pp. 665-689 ◽

Author(s):

Feimin Huang ◽

Ronghua Pan ◽

Zhen Wang

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Barenblatt Solution

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Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-004-0349-y ◽

2005 ◽

Vol 176 (1) ◽

pp. 1-24 ◽

Author(s):

Feimin Huang ◽

Pierangelo Marcati ◽

Ronghua Pan

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler ◽

Barenblatt Solution

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Global existence and convergence rates of solutions for the compressible Euler equations with damping

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020047 ◽

2020 ◽

Vol 25 (8) ◽

pp. 2949-2969

Author(s):

Ruiying Wei ◽

◽

Yin Li ◽

Zheng-an Yao ◽

Keyword(s):

Global Existence ◽

Euler Equations ◽

Convergence Rates ◽

Compressible Euler Equations ◽

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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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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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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