Compressible Navier-Stokes equations with temperature dependent heat conductivity

Ronghua Pan; Weizhe Zhang

doi:10.4310/cms.2015.v13.n2.a7

Compressible Navier-Stokes equations with temperature dependent heat conductivity

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n2.a7 ◽

2015 ◽

Vol 13 (2) ◽

pp. 401-425 ◽

Cited By ~ 26

Author(s):

Ronghua Pan ◽

Weizhe Zhang

Keyword(s):

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations

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Global strong solution to compressible Navier–Stokes equations with density dependent viscosity and temperature dependent heat conductivity

Journal of Differential Equations ◽

10.1016/j.jde.2017.01.007 ◽

2017 ◽

Vol 262 (8) ◽

pp. 4314-4335 ◽

Cited By ~ 1

Author(s):

Ran Duan ◽

Ai Guo ◽

Changjiang Zhu

Keyword(s):

Strong Solution ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Strong Solution ◽

Dependent Viscosity

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On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103430 ◽

2022 ◽

Vol 64 ◽

pp. 103430

Author(s):

Yaobin Ou

Keyword(s):

Heat Conductivity ◽

Moving Boundary ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Temperature Dependent ◽

Navier Stokes Equations

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Free boundary problem for one-dimensional compressible Navier-Stokes equations with temperature dependent viscosity and heat conductivity

Authorea ◽

10.22541/au.158273363.35416136 ◽

2020 ◽

Author(s):

Tuowei CHEN ◽

yongqian zhang

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Navier Stokes Equations ◽

One Dimensional ◽

Dependent Viscosity

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On free boundary problem for compressible navier-stokes equations with temperature-dependent heat conductivity

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017201 ◽

2017 ◽

Vol 22 (10) ◽

pp. 3903-3919 ◽

Cited By ~ 1

Author(s):

Zilai Li ◽

◽

Zhenhua Guo ◽

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations

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Free boundary problem for one‐dimensional compressible Navier–Stokes equations with temperature‐dependent viscosity and heat conductivity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7625 ◽

2021 ◽

Author(s):

Tuowei Chen ◽

Yongqian Zhang

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Navier Stokes Equations ◽

One Dimensional ◽

Dependent Viscosity

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The initial value problem for the compressible Navier-Stokes equations without heat conductivity

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.025 ◽

2020 ◽

Vol 268 (9) ◽

pp. 5469-5490 ◽

Cited By ~ 1

Author(s):

Qing Chen ◽

Zhong Tan ◽

Guochun Wu ◽

Weiyuan Zou

Keyword(s):

Heat Conductivity ◽

Initial Value Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Initial Value ◽

Navier Stokes Equations

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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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Global strong solutions to the 3D full compressible Navier–Stokes equations with density–temperature–dependent viscosities in bounded domains

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.065 ◽

2020 ◽

Vol 268 (12) ◽

pp. 7286-7310

Author(s):

Haibo Yu ◽

Peixin Zhang

Keyword(s):

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Bounded Domains ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

Global Strong Solutions

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One-dimensional Compressible Navier--Stokes Equations with Temperature Dependent Transport Coefficients and Large Data

SIAM Journal on Mathematical Analysis ◽

10.1137/130920617 ◽

2014 ◽

Vol 46 (3) ◽

pp. 2185-2228 ◽

Cited By ~ 38

Author(s):

Hongxia Liu ◽

Tong Yang ◽

Huijiang Zhao ◽

Qingyang Zou

Keyword(s):

Stokes Equations ◽

Transport Coefficients ◽

Large Data ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

One Dimensional ◽

Dependent Transport

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Nonlinear stability of viscous shock profiles for compressible Navier–Stokes equations with temperature-dependent transport coefficients and large initial perturbation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-1026-6 ◽

2018 ◽

Vol 69 (6) ◽

Cited By ~ 3

Author(s):

Bingkang Huang ◽

Shaojun Tang ◽

Lan Zhang

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Transport Coefficients ◽

Initial Perturbation ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

Shock Profiles ◽

Dependent Transport ◽

Large Initial Perturbation

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