Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids

Junping Yin; Zhong Tan

doi:10.1007/s11401-006-0282-5

Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-006-0282-5 ◽

2008 ◽

Vol 29 (4) ◽

pp. 441-458 ◽

Cited By ~ 9

Author(s):

Junping Yin ◽

Zhong Tan

Keyword(s):

Global Existence ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

One Dimensional ◽

Poisson Equations

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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 ◽

Cited By ~ 1

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 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 ◽

Cited By ~ 3

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 ◽

Cited By ~ 4

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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Strong solutions of the coupled Navier-Stokes-Poisson equations for isentropic compressible fluids

Acta Mathematica Scientia ◽

10.1016/s0252-9602(10)60124-5 ◽

2010 ◽

Vol 30 (4) ◽

pp. 1280-1290 ◽

Cited By ~ 1

Author(s):

Tan Zhong ◽

Zhang Yinghui

Keyword(s):

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Poisson Equations

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Global existence of strong solutions of the Navier–Stokes equations for isentropic compressible fluids with density-dependent viscosity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.09.025 ◽

2009 ◽

Vol 349 (2) ◽

pp. 503-515 ◽

Cited By ~ 4

Author(s):

Huanyao Wen ◽

Lei Yao

Keyword(s):

Global Existence ◽

Stokes Equations ◽

Strong Solutions ◽

Compressible Fluids ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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On the strong solutions of one-dimensional Navier-Stokes-Poisson equations for compressible non-Newtonian fluids

Journal of Mathematical Physics ◽

10.1063/1.4803485 ◽

2013 ◽

Vol 54 (5) ◽

pp. 051502

Author(s):

Yukun Song ◽

Hongjun Yuan ◽

Yang Chen

Keyword(s):

Strong Solutions ◽

Newtonian Fluids ◽

Navier Stokes ◽

One Dimensional ◽

Poisson Equations

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Global existence of the radially symmetric strong solution to Navier-Stokes-Poisson equations for isentropic compressible fluids

Acta Mathematica Sinica English Series ◽

10.1007/s10114-009-6595-z ◽

2009 ◽

Vol 25 (10) ◽

pp. 1703-1720 ◽

Cited By ~ 1

Author(s):

Jun Ping Yin ◽

Zhong Tan

Keyword(s):

Global Existence ◽

Strong Solution ◽

Compressible Fluids ◽

Navier Stokes ◽

Poisson Equations

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Global Solutions to the One-Dimensional Compressible Navier--Stokes--Poisson Equations with Large Data

SIAM Journal on Mathematical Analysis ◽

10.1137/120876174 ◽

2013 ◽

Vol 45 (2) ◽

pp. 547-571 ◽

Cited By ~ 42

Author(s):

Zhong Tan ◽

Tong Yang ◽

Huijiang Zhao ◽

Qingyang Zou

Keyword(s):

Global Solutions ◽

Large Data ◽

Navier Stokes ◽

One Dimensional ◽

Poisson Equations ◽

The One

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Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum

Nonlinearity ◽

10.1088/1361-6544/aab31f ◽

2018 ◽

Vol 31 (6) ◽

pp. 2617-2632 ◽

Cited By ~ 10

Author(s):

Boqiang Lü ◽

Xiaoding Shi ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Large Time ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile

Journal of Differential Equations ◽

10.1016/j.jde.2020.06.006 ◽

2020 ◽

Vol 269 (10) ◽

pp. 8468-8508

Author(s):

Shengquan Liu ◽

Xinying Xu ◽

Jianwen Zhang

Keyword(s):

Strong Solutions ◽

Doping Profile ◽

Navier Stokes ◽

Well Posedness ◽

Poisson Equations

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