Non-existence of global classical solutions to barotropic compressible Navier-Stokes equations with degenerate viscosity and vacuum

Journal of Differential Equations ◽

10.1016/j.jde.2021.10.039 ◽

2022 ◽

Vol 306 ◽

pp. 280-295

Author(s):

Minling Li ◽

Zheng-an Yao ◽

Rongfeng Yu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions ◽

Degenerate Viscosity

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Global classical solutions to 1D full compressible Navier–Stokes equations with the Robin boundary condition on temperature

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.11.004 ◽

2019 ◽

Vol 47 ◽

pp. 306-323

Author(s):

Peixin Zhang ◽

Changjiang Zhu

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Robin Boundary Condition ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions ◽

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On global classical solutions to 1D compressible Navier‐Stokes equations with density‐dependent viscosity and vacuum

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6255 ◽

2020 ◽

Vol 43 (8) ◽

pp. 5127-5150

Author(s):

Boqiang Lü ◽

Yixuan Wang ◽

Yuhang Wu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Classical Solutions ◽

Dependent Viscosity

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Global classical solutions to the 3D isentropic compressible Navier–Stokes equations in a bounded domain

Nonlinearity ◽

10.1088/1361-6544/aa4f4c ◽

2016 ◽

Vol 30 (1) ◽

pp. 361-381 ◽

Author(s):

Haibo Yu ◽

Junning Zhao

Keyword(s):

Bounded Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Global classical solutions for the 2D four-component chemotaxis-Navier-Stokes equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125338 ◽

2021 ◽

pp. 125338

Author(s):

Yaxin Du ◽

Qian Zhang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Global classical solutions for 3D compressible Navier–Stokes equations with vacuum and a density-dependent viscosity coefficient

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.12.056 ◽

2013 ◽

Vol 401 (2) ◽

pp. 795-810 ◽

Author(s):

Shengquan Liu ◽

Jianwen Zhang ◽

Junning Zhao

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Classical Solutions ◽

Dependent Viscosity

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Global Classical Solutions to the 3-D Isentropic Compressible Navier-Stokes Equations with General Initial Energy

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60166-0 ◽

2012 ◽

Vol 32 (6) ◽

pp. 2141-2160 ◽

Author(s):

Zhang Peixin ◽

Deng Xuemei ◽

Zhao Junning

Keyword(s):

Stokes Equations ◽

Initial Energy ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data

Science China Mathematics ◽

10.1007/s11425-013-4717-7 ◽

2013 ◽

Vol 57 (7) ◽

pp. 1463-1478 ◽

Author(s):

PeiXin Zhang ◽

JunNing Zhao

Keyword(s):

Initial Data ◽

Existence And Uniqueness ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

General Initial Data ◽

Global Classical Solutions

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Global classical solutions of the full compressible Navier–Stokes equations with cylindrical or spherical symmetry

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.06.008 ◽

2017 ◽

Vol 33 ◽

pp. 139-167

Author(s):

Xinhua Zhao ◽

Lei Yao

Keyword(s):

Spherical Symmetry ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Global classical solutions to the 1-D vacuum free boundary problem for full compressible Navier-Stokes equations with large data

Journal of Mathematical Physics ◽

10.1063/1.4974051 ◽

2017 ◽

Vol 58 (1) ◽

pp. 011502 ◽

Author(s):

Yaobin Ou

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Global classical solutions to the 2D compressible Navier-Stokes equations with vacuum

Journal of Mathematical Physics ◽

10.1063/1.5000296 ◽

2018 ◽

Vol 59 (8) ◽

pp. 081507 ◽

Author(s):

Shijin Ding ◽

Bingyuan Huang ◽

Xiaoling Liu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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