Stability of the planar rarefaction wave to two‐dimensional Navier‐Stokes‐Korteweg equations of compressible fluids

Yeping Li; Zhengzheng Chen; Zhen Luo

doi:10.1002/mma.6120

Stability of the planar rarefaction wave to two‐dimensional Navier‐Stokes‐Korteweg equations of compressible fluids

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6120 ◽

2019 ◽

Vol 43 (6) ◽

pp. 3307-3330

Author(s):

Yeping Li ◽

Zhengzheng Chen ◽

Zhen Luo

Keyword(s):

Rarefaction Wave ◽

Compressible Fluids ◽

Navier Stokes ◽

Two Dimensional

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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 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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Stability of Planar Rarefaction Wave to Two-Dimensional Compressible Navier--Stokes Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/18m1171059 ◽

2018 ◽

Vol 50 (5) ◽

pp. 4937-4963 ◽

Cited By ~ 8

Author(s):

Lin-an Li ◽

Yi Wang

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations

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Vanishing viscosity limit to the planar rarefaction wave for the two-dimensional full compressible Navier-Stokes equations

Journal of Differential Equations ◽

10.1016/j.jde.2020.02.026 ◽

2020 ◽

Vol 269 (4) ◽

pp. 3160-3195

Author(s):

Xing Li ◽

Lin-An Li

Keyword(s):

Rarefaction Wave ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Vanishing Viscosity ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

Viscosity Limit

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Application of the Hierarchical Functions Expansion Method for the Solution of the Two Dimensional Navier-Stokes Equations for Compressible Fluids in High Velocity

Energy and Power Engineering ◽

10.4236/epe.2017.92007 ◽

2017 ◽

Vol 09 (02) ◽

pp. 86-99

Author(s):

Thadeu das Neves Conti ◽

Eduardo Lobo Lustosa Cabral ◽

Gaianê Sabundjian

Keyword(s):

High Velocity ◽

Stokes Equations ◽

Expansion Method ◽

Compressible Fluids ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations

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Initial boundary value problems for two-dimensional isentropic compressible Navier-Stokes equations with rotating effect terms

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125430 ◽

2021 ◽

pp. 125430

Author(s):

Tuowei Chen ◽

Yongqian Zhang

Keyword(s):

Boundary Value Problems ◽

Stokes Equations ◽

Boundary Value ◽

Initial Boundary ◽

Navier Stokes ◽

Two Dimensional ◽

Initial Boundary Value Problems ◽

Navier Stokes Equations ◽

Initial Boundary Value

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To what extent is cross-diffusion controllable in a two-dimensional chemotaxis-(Navier–)Stokes system modeling coral fertilization

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-02039-w ◽

2021 ◽

Vol 60 (4) ◽

Author(s):

Wei Wang ◽

Minghua Zhang ◽

Sining Zheng

Keyword(s):

Stokes System ◽

System Modeling ◽

Navier Stokes ◽

Two Dimensional ◽

Cross Diffusion

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Global large solutions to the two-dimensional compressible Navier–Stokes equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01501-1 ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Xiaoping Zhai ◽

Zhi-Min Chen

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Large Solutions

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External compression supersonic inlet analysis using a finite difference two-dimensional Navier-Stokes code

Journal of Propulsion and Power ◽

10.2514/3.22794 ◽

1985 ◽

Vol 1 (4) ◽

pp. 279-285

Author(s):

A. F. Campbell ◽

J. Syberg ◽

C. K. Forester

Keyword(s):

Finite Difference ◽

Navier Stokes ◽

Two Dimensional ◽

External Compression ◽

Supersonic Inlet

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