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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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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Stability of smooth solutions for the compressible Euler equations with time-dependent damping and one-side physical vacuum

Journal of Differential Equations ◽

10.1016/j.jde.2021.01.003 ◽

2021 ◽

Vol 278 ◽

pp. 146-188

Author(s):

Xinghong Pan

Keyword(s):

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Smooth Solutions ◽

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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Well-posedness of Compressible Euler Equations in a Physical Vacuum

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.21517 ◽

2014 ◽

Vol 68 (1) ◽

pp. 61-111 ◽

Author(s):

Juhi Jang ◽

Nader Masmoudi

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Physical Vacuum ◽

Well Posedness ◽

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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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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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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