Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo's law

Yinsong Bai; Lin He; Huijiang Zhao

doi:10.3934/cpaa.2021049

Nonlinear stability of rarefaction waves for a hyperbolic system with Cattaneo's law

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2021049 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Yinsong Bai ◽

Lin He ◽

Huijiang Zhao

Keyword(s):

Hyperbolic System ◽

Nonlinear Stability ◽

Rarefaction Waves ◽

Cattaneo’S Law

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Nonlinear stability of rarefaction waves for the compressible Navier–Stokes equations with zero heat conductivity

Nonlinear Analysis ◽

10.1016/j.na.2018.04.026 ◽

2018 ◽

Vol 174 ◽

pp. 242-277 ◽

Cited By ~ 1

Author(s):

Jiayi Hu ◽

Hui Yin

Keyword(s):

Nonlinear Stability ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations

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Nonlinear Stability of Rarefaction Waves for a Compressible Micropolar Fluid Model with Zero Heat Conductivity

Acta Mathematica Scientia ◽

10.1007/s10473-020-0512-z ◽

2020 ◽

Vol 40 (5) ◽

pp. 1352-1390

Author(s):

Jing Jin ◽

Noor Rehman ◽

Qin Jiang

Keyword(s):

Nonlinear Stability ◽

Heat Conductivity ◽

Micropolar Fluid ◽

Fluid Model ◽

Rarefaction Waves

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NONLINEAR STABILITY OF RAREFACTION WAVES FOR A RATE-TYPE VISCOELASTIC SYSTEM

Chinese Annals of Mathematics Series B ◽

10.1142/s0252959999000254 ◽

1999 ◽

Vol 20 (02) ◽

pp. 223-232 ◽

Cited By ~ 14

Author(s):

LING HSIAO ◽

RONGHUA PAN

Keyword(s):

Nonlinear Stability ◽

Rarefaction Waves ◽

Viscoelastic System ◽

Rate Type

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Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/s003614100342735x ◽

2004 ◽

Vol 35 (6) ◽

pp. 1561-1597 ◽

Cited By ~ 82

Author(s):

Kenji Nishihara ◽

Tong Yang ◽

Huijiang Zhao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations

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Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws

Kinetic and Related Models ◽

10.3934/krm.2019035 ◽

2019 ◽

Vol 12 (4) ◽

pp. 923-944

Author(s):

Kenta Nakamura ◽

◽

Tohru Nakamura ◽

Shuichi Kawashima ◽

◽

...

Keyword(s):

Asymptotic Stability ◽

Hyperbolic System ◽

Balance Laws ◽

Rarefaction Waves ◽

System Of Balance Laws

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Global nonlinear stability of rarefaction waves for compressible Navier-Stokes equations with temperature and density dependent transport coefficients

Kinetic and Related Models ◽

10.3934/krm.2016004 ◽

2016 ◽

Vol 9 (3) ◽

pp. 469-514 ◽

Cited By ~ 15

Author(s):

Bingkang Huang ◽

Lusheng Wang ◽

Qinghua Xiao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Transport Coefficients ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Transport

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Nonlinear stability of rarefaction waves for compressible Navier Stokes equations

Communications in Mathematical Physics ◽

10.1007/bf01466726 ◽

1988 ◽

Vol 118 (3) ◽

pp. 451-465 ◽

Cited By ~ 101

Author(s):

Tai-Ping Liu ◽

Zhouping Xin

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations

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Nonlinear stability of strong rarefaction waves for the generalized KdV–Burgers–Kuramoto equation with large initial perturbation

Nonlinear Analysis ◽

10.1016/j.na.2010.07.005 ◽

2010 ◽

Vol 73 (10) ◽

pp. 3254-3267 ◽

Cited By ~ 2

Author(s):

Ran Duan ◽

Lili Fan ◽

Jongsung Kim ◽

Linqiao Xie

Keyword(s):

Nonlinear Stability ◽

Initial Perturbation ◽

Rarefaction Waves ◽

Large Initial Perturbation

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Nonlinear stability of rarefaction waves for a viscoelastic material with memory

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1994-1157614-5 ◽

1994 ◽

Vol 342 (2) ◽

pp. 645-669

Author(s):

Harumi Hattori

Keyword(s):

Viscoelastic Material ◽

Nonlinear Stability ◽

Rarefaction Waves ◽

With Memory

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Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large initial perturbation

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-08-04637-0 ◽

2008 ◽

Vol 361 (01) ◽

pp. 453-493 ◽

Cited By ~ 36

Author(s):

Ran Duan ◽

Hongxia Liu ◽

Huijiang Zhao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Initial Perturbation ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Large Initial Perturbation

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