Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids

Yukun Song

doi:10.11648/j.sjams.20160404.13

Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids

Science Journal of Applied Mathematics and Statistics ◽

10.11648/j.sjams.20160404.13 ◽

2016 ◽

Vol 4 (4) ◽

pp. 134

Author(s):

Yukun Song

Keyword(s):

Strong Solutions ◽

Newtonian Fluids ◽

Navier Stokes ◽

Poisson Equations

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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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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 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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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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Corrigendum to “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” [J. Differ. Equ., 269(10) (2020) 8468–8508]

Journal of Differential Equations ◽

10.1016/j.jde.2021.02.014 ◽

2021 ◽

Author(s):

Shengquan Liu ◽

Xinying Xu ◽

Jianwen Zhang

Keyword(s):

Strong Solutions ◽

Doping Profile ◽

Navier Stokes ◽

Well Posedness ◽

Poisson Equations

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Local existence of the strong solutions for the full Navier–Stokes–Poisson equations

Nonlinear Analysis ◽

10.1016/j.na.2009.01.074 ◽

2009 ◽

Vol 71 (7-8) ◽

pp. 2397-2415 ◽

Cited By ~ 6

Author(s):

Junping Yin ◽

Zhong Tan

Keyword(s):

Local Existence ◽

Strong Solutions ◽

Navier Stokes ◽

Poisson Equations

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Optimal convergence rates for the strong solutions to the compressible Navier–Stokes equations with potential force

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.09.005 ◽

2017 ◽

Vol 34 ◽

pp. 363-378 ◽

Cited By ~ 3

Author(s):

Wenjun Wang

Keyword(s):

Convergence Rates ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Potential Force ◽

Navier Stokes Equations ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Blow-up for the compressible isentropic Navier-Stokes-Poisson equations

10.21136/cmj.2019.0156-18 ◽

2019 ◽

Vol 70 (1) ◽

pp. 9-19

Author(s):

Jianwei Dong ◽

Junhui Zhu ◽

Yanping Wang

Keyword(s):

Blow Up ◽

Navier Stokes ◽

Poisson Equations

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Time periodic strong solutions to the Keller-Segel system coupled to Navier-Stokes equation

Journal of Differential Equations ◽

10.1016/j.jde.2021.06.044 ◽

2021 ◽

Vol 298 ◽

pp. 95-131

Author(s):

Zhong Tan ◽

Zhonger Wu

Keyword(s):

Stokes Equation ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Time Periodic

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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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