The best asymptotic profile of solutions to Euler equations with time‐dependent damping

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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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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Decay rates of solutions to Euler equations with time-dependent damping

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103102 ◽

2020 ◽

Vol 54 ◽

pp. 103102

Author(s):

Lina Zhang

Keyword(s):

Euler Equations ◽

Decay Rates ◽

Time Dependent

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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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Asymptotic Behavior of Solutions to Euler Equations with Time-Dependent Damping in Critical Case

SIAM Journal on Mathematical Analysis ◽

10.1137/19m1272846 ◽

2020 ◽

Vol 52 (2) ◽

pp. 1463-1488 ◽

Cited By ~ 2

Author(s):

Shifeng Geng ◽

Yanping Lin ◽

Ming Mei

Keyword(s):

Asymptotic Behavior ◽

Euler Equations ◽

Critical Case ◽

Time Dependent ◽

Asymptotic Behavior Of Solutions

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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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A locally implicit second order accurate difference scheme for solving 2D time-dependent hyperbolic systems and Euler equations

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00121-x ◽

2000 ◽

Vol 33 (1-4) ◽

pp. 525-532

Author(s):

Yulian B. Radvogin ◽

Nikolai A. Zaitsev

Keyword(s):

Difference Scheme ◽

Euler Equations ◽

Hyperbolic Systems ◽

Second Order ◽

Time Dependent

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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

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Global existence of solutions to 1-d Euler equations with time-dependent damping

Nonlinear Analysis ◽

10.1016/j.na.2015.11.022 ◽

2016 ◽

Vol 132 ◽

pp. 327-336 ◽

Cited By ~ 18

Author(s):

Xinghong Pan

Keyword(s):

Global Existence ◽

Euler Equations ◽

Existence Of Solutions ◽

Time Dependent ◽

Global Existence Of Solutions

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The asymptotic profile of solutions to damped Euler equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.202000190 ◽

2021 ◽

Author(s):

Dongsheng Xu ◽

Xiongfeng Yang

Keyword(s):

Euler Equations ◽

Asymptotic Profile

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