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

Download Full-text

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

Download Full-text

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

Download Full-text

Singularity Formation for the Compressible Euler Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/16m1062818 ◽

2017 ◽

Vol 49 (4) ◽

pp. 2591-2614 ◽

Cited By ~ 7

Author(s):

Geng Chen ◽

Ronghua Pan ◽

Shengguo Zhu

Keyword(s):

Euler Equations ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Compressible Euler

Download Full-text

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

Download Full-text

Optimal time-dependent lower bound on density for classical solutions of 1-D compressible Euler equations

Indiana University Mathematics Journal ◽

10.1512/iumj.2017.66.5988 ◽

2017 ◽

Vol 66 (3) ◽

pp. 725-740 ◽

Cited By ~ 1

Author(s):

Geng Chen

Keyword(s):

Lower Bound ◽

Euler Equations ◽

Time Dependent ◽

Compressible Euler Equations ◽

Classical Solutions ◽

Optimal Time ◽

Compressible Euler

Download Full-text

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

Download Full-text

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

Download Full-text

On finite-time blowup mechanism of irrotational compressible Euler equations with time-dependent damping

Applicable Analysis ◽

10.1080/00036811.2020.1852218 ◽

2020 ◽

pp. 1-14

Author(s):

Ka Luen Cheung ◽

Sen Wong

Keyword(s):

Euler Equations ◽

Finite Time ◽

Time Dependent ◽

Compressible Euler Equations ◽

Finite Time Blowup ◽

Compressible Euler ◽

Time Blowup

Download Full-text

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 ◽

Cited By ~ 7

Author(s):

Yuusuke Sugiyama

Keyword(s):

Euler Equations ◽

Damping Coefficient ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Compressible Euler ◽

Variable Damping

Download Full-text

Global and blow-up solutions for compressible Euler equations with time-dependent damping

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.002 ◽

2020 ◽

Vol 268 (9) ◽

pp. 5035-5077 ◽

Cited By ~ 3

Author(s):

Shaohua Chen ◽

Haitong Li ◽

Jingyu Li ◽

Ming Mei ◽

Kaijun Zhang

Keyword(s):

Euler Equations ◽

Blow Up ◽

Time Dependent ◽

Compressible Euler Equations ◽

Compressible Euler

Download Full-text