Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law

Mathematische Nachrichten ◽

10.1002/mana.201700418 ◽

2018 ◽

Vol 292 (4) ◽

pp. 826-840 ◽

Author(s):

Yuxi Hu ◽

Na Wang

Keyword(s):

Global Existence ◽

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional

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Blow-Up Scenarios for the 3D Navier–Stokes Equations Exhibiting Sub-Criticality with Respect to the Scaling of One-Dimensional Local Sparseness

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-013-0155-0 ◽

2013 ◽

Vol 16 (2) ◽

pp. 321-334 ◽

Author(s):

Zachary Bradshaw ◽

Zoran Grujić

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional

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Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103222 ◽

2021 ◽

Vol 58 ◽

pp. 103222

Author(s):

Yuming Qin ◽

Jianlin Zhang ◽

Yang Wang ◽

Xing Su

Keyword(s):

Global Existence ◽

Exponential Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Stability Of Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

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Global existence of strong solutions of Navier-Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60116-7 ◽

2012 ◽

Vol 32 (4) ◽

pp. 1467-1486 ◽

Author(s):

Yuan Hongjun ◽

Liu Hongzhi ◽

Qiao Jiezeng ◽

Li Fanpei

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Newtonian Potential ◽

Navier Stokes Equations ◽

One Dimensional

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Global existence of solutions for one-dimensional compressible navier-stokes equations in the half space

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60181-6 ◽

2010 ◽

Vol 30 (6) ◽

pp. 1889-1905

Author(s):

Wang Shujuan ◽

Zhao Junning

Keyword(s):

Global Existence ◽

Existence Of Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Global Existence Of Solutions

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Global existence of strong solutions of Navier–Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

Nonlinear Analysis ◽

10.1016/j.na.2011.05.026 ◽

2011 ◽

Vol 74 (17) ◽

pp. 5876-5891 ◽

Author(s):

Hongzhi Liu ◽

Hongjun Yuan ◽

Jiezeng Qiao ◽

Fanpei Li

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Newtonian Potential ◽

Navier Stokes Equations ◽

One Dimensional

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Global existence of strong solutions of Navier–Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-012-0202-3 ◽

2012 ◽

Vol 63 (5) ◽

pp. 865-878 ◽

Author(s):

Hongzhi Liu ◽

Hongjun Yuan ◽

Jiezeng Qiao ◽

Fanpei Li

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Newtonian Potential ◽

Navier Stokes Equations ◽

One Dimensional

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Global existence and asymptotic convergence of weak solutions for the one-dimensional Navier–Stokes equations with capillarity and nonmonotonic pressure

Journal of Differential Equations ◽

10.1016/j.jde.2008.01.021 ◽

2008 ◽

Vol 245 (12) ◽

pp. 3936-3955 ◽

Author(s):

Eugene Tsyganov

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Asymptotic Convergence ◽

Navier Stokes Equations ◽

One Dimensional ◽

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Blow-up and Global Smooth Solutions for Incompressible Three-Dimensional Navier–Stokes Equations

Chinese Physics Letters ◽

10.1088/0256-307x/25/6/052 ◽

2008 ◽

Vol 25 (6) ◽

pp. 2115-2117 ◽

Author(s):

Guo Bo-Ling ◽

Yang Gan-Shan ◽

Pu Xue-Ke

Keyword(s):

Blow Up ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Smooth Solutions ◽

Navier Stokes Equations ◽

Global Smooth Solutions

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Global existence of weak solutions to the compressible quantum Navier-Stokes equations with degenerate viscosity

Journal of Mathematical Physics ◽

10.1063/1.5127797 ◽

2019 ◽

Vol 60 (12) ◽

pp. 121502

Author(s):

Boqiang Lü ◽

Rong Zhang ◽

Xin Zhong

Keyword(s):

Global Existence ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Existence Of Weak Solutions ◽

Degenerate Viscosity

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Comparison of numerical solutions of the Navier?Stokes equations and a kinetic model in the one-dimensional case

Fluid Dynamics ◽

10.1007/bf01089651 ◽

1980 ◽

Vol 15 (5) ◽

pp. 752-755 ◽

Author(s):

A. A. Makhmudov ◽

S. P. Popov

Keyword(s):

Kinetic Model ◽

Numerical Solutions ◽

Stokes Equations ◽

Dimensional Case ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

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