Stability of the rarefaction wave for a coupled compressible Navier-Stokes/Allen-Cahn system

Ting Luo; Haiyan Yin; Changjiang Zhu

doi:10.1002/mma.4925

Stability of the rarefaction wave for a coupled compressible Navier-Stokes/Allen-Cahn system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4925 ◽

2018 ◽

Vol 41 (12) ◽

pp. 4724-4736 ◽

Cited By ~ 4

Author(s):

Ting Luo ◽

Haiyan Yin ◽

Changjiang Zhu

Keyword(s):

Rarefaction Wave ◽

Navier Stokes

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Zero-viscosity–capillarity limit toward rarefaction wave with vacuum for the Navier–Stokes–Korteweg equations of compressible fluids

Journal of Mathematical Physics ◽

10.1063/5.0006290 ◽

2020 ◽

Vol 61 (11) ◽

pp. 111501

Author(s):

Yeping Li ◽

Peicheng Zhu

Keyword(s):

Rarefaction Wave ◽

Compressible Fluids ◽

Navier Stokes ◽

Zero Viscosity

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Vanishing Viscosity Limit to the Planar Rarefaction Wave for the Two-Dimensional Compressible Navier–Stokes Equations

Communications in Mathematical Physics ◽

10.1007/s00220-019-03580-8 ◽

2019 ◽

Vol 376 (1) ◽

pp. 353-384 ◽

Cited By ~ 1

Author(s):

Lin-An Li ◽

Dehua Wang ◽

Yi Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Stability of rarefaction wave for isentropic compressible Navier–Stokes–Maxwell equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103234 ◽

2021 ◽

Vol 59 ◽

pp. 103234

Author(s):

Fangqi Luo ◽

Huancheng Yao ◽

Changjiang Zhu

Keyword(s):

Rarefaction Wave ◽

Maxwell Equations ◽

Navier Stokes

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Zero dissipation limit of the rarefaction wave with vacuum for the compressible Navier-Stokes equations with density-dependent viscosity

Scientia Sinica Mathematica ◽

10.1360/012011-401 ◽

2012 ◽

Vol 42 (3) ◽

pp. 215-233

Author(s):

ZhiLei LIANG

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier–Stokes equations under large perturbation

Journal of Differential Equations ◽

10.1016/j.jde.2009.01.017 ◽

2009 ◽

Vol 246 (10) ◽

pp. 4077-4096 ◽

Cited By ~ 39

Author(s):

Feimin Huang ◽

Xiaohong Qin

Keyword(s):

Boundary Layer ◽

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Large Perturbation

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Vanishing viscosity limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations with density-dependent viscosity

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n2.a11 ◽

2015 ◽

Vol 13 (2) ◽

pp. 477-495 ◽

Cited By ~ 2

Author(s):

Teng Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Density Dependent ◽

Viscosity Limit ◽

Dependent Viscosity

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Stability of the planar rarefaction wave to three-dimensional Navier–Stokes–Korteweg equations of compressible fluids

Nonlinearity ◽

10.1088/1361-6544/abb544 ◽

2021 ◽

Vol 34 (5) ◽

pp. 2689-2714

Author(s):

Yeping Li ◽

Zhen Luo

Keyword(s):

Rarefaction Wave ◽

Three Dimensional ◽

Compressible Fluids ◽

Navier Stokes

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The stability of rarefaction wave for Navier-Stokes equations in the half-line

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1445 ◽

2011 ◽

Vol 34 (11) ◽

pp. 1366-1380 ◽

Cited By ~ 1

Author(s):

Xiongfeng Yang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Half Line ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Stability

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Stability of the superposition of boundary layer and rarefaction wave for outflow problem on the two-fluid Navier–Stokes–Poisson system

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.01.020 ◽

2016 ◽

Vol 31 ◽

pp. 492-512 ◽

Cited By ~ 4

Author(s):

Haiyan Yin ◽

Jinshun Zhang ◽

Changjiang Zhu

Keyword(s):

Boundary Layer ◽

Rarefaction Wave ◽

Navier Stokes ◽

Poisson System ◽

Two Fluid

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Zero Dissipation Limit to Rarefaction Wave with Vacuum for One-Dimensional Compressible Navier–Stokes Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/100814305 ◽

2012 ◽

Vol 44 (3) ◽

pp. 1742-1759 ◽

Cited By ~ 22

Author(s):

Feimin Huang ◽

Mingjie Li ◽

Yi Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional

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