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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$$L^{1}$$ 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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On the global existence and blowup of smooth solutions to the multi-dimensional compressible Euler equations with time-depending damping

Nonlinearity ◽

10.1088/1361-6544/aa6d93 ◽

2017 ◽

Vol 30 (6) ◽

pp. 2485-2517 ◽

Author(s):

Fei Hou ◽

Huicheng Yin

Keyword(s):

Global Existence ◽

Euler Equations ◽

Compressible Euler Equations ◽

Smooth Solutions ◽

Compressible Euler

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Global existence of the three‐dimensional compressible Euler equations for generalized Chaplygin gas with damping

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6819 ◽

2020 ◽

Vol 44 (2) ◽

pp. 1176-1184

Author(s):

Ka Luen Cheung

Keyword(s):

Global Existence ◽

Euler Equations ◽

Three Dimensional ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Generalized Chaplygin Gas ◽

Compressible Euler

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Global Existence of Near-Affine Solutions to the Compressible Euler Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-019-01387-4 ◽

2019 ◽

Vol 234 (1) ◽

pp. 115-180 ◽

Author(s):

Steve Shkoller ◽

Thomas C. Sideris

Keyword(s):

Global Existence ◽

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler

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Global existence and asymptotic behavior for the full compressible Euler equations with damping in $\mathbb R^3$

Annales Polonici Mathematici ◽

10.4064/ap4020-2-2017 ◽

2017 ◽

Vol 119 (2) ◽

pp. 147-163

Author(s):

Guochun Wu ◽

Zhensheng Gao

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler

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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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Global Existence of Shock Front Solution to 1-D Piston Problem for Compressible Euler Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-018-0399-9 ◽

2018 ◽

Vol 20 (4) ◽

pp. 2053-2071

Author(s):

Min Ding

Keyword(s):

Global Existence ◽

Shock Front ◽

Euler Equations ◽

Compressible Euler Equations ◽

Piston Problem ◽

Front Solution ◽

Compressible Euler ◽

Shock Front Solution

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Global existence of the nonisentropic compressible Euler equations with vacuum boundary surrounding a variable entropy state

Nonlinearity ◽

10.1088/1361-6544/abb03b ◽

2020 ◽

Vol 34 (1) ◽

pp. 33-91

Author(s):

Calum Rickard ◽

Mahir Hadžić ◽

Juhi Jang

Keyword(s):

Global Existence ◽

Euler Equations ◽

Compressible Euler Equations ◽

Compressible Euler

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Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21562 ◽

2015 ◽

Vol 69 (7) ◽

pp. 1354-1396 ◽

Author(s):

Tao Luo ◽

Huihui Zeng

Keyword(s):

Free Boundary ◽

Global Existence ◽

Boundary Problem ◽

Euler Equations ◽

Free Boundary Problem ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Smooth Solutions ◽

Compressible Euler

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