This paper study the Navier-Stoke-Poisson equations for compressible non-Newtonian fluids in one dimensional bounded intervals. The motion of the fluid is driven by the compressible viscous isentropic flow under the self-gravitational and an external force. The local existence and uniqueness of strong solutions was proved based on some compatibility condition. The main condition is that the initial density vacuum is allowed.
| Published in | Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 4) |
| DOI | 10.11648/j.sjams.20160404.13 |
| Page(s) | 134-140 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2016. Published by Science Publishing Group |
Strong Solutions, Navier-Stokes-Poisson Equations, Non-Newtonian Fluids, Vacuum
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APA Style
Yukun Song, Yang Chen. (2016). Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids. Science Journal of Applied Mathematics and Statistics, 4(4), 134-140. https://doi.org/10.11648/j.sjams.20160404.13
ACS Style
Yukun Song; Yang Chen. Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids. Sci. J. Appl. Math. Stat. 2016, 4(4), 134-140. doi: 10.11648/j.sjams.20160404.13
AMA Style
Yukun Song, Yang Chen. Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids. Sci J Appl Math Stat. 2016;4(4):134-140. doi: 10.11648/j.sjams.20160404.13
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Download@article{10.11648/j.sjams.20160404.13,
author = {Yukun Song and Yang Chen},
title = {Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids},
journal = {Science Journal of Applied Mathematics and Statistics},
volume = {4},
number = {4},
pages = {134-140},
doi = {10.11648/j.sjams.20160404.13},
url = {https://doi.org/10.11648/j.sjams.20160404.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20160404.13},
abstract = {This paper study the Navier-Stoke-Poisson equations for compressible non-Newtonian fluids in one dimensional bounded intervals. The motion of the fluid is driven by the compressible viscous isentropic flow under the self-gravitational and an external force. The local existence and uniqueness of strong solutions was proved based on some compatibility condition. The main condition is that the initial density vacuum is allowed.},
year = {2016}
}
TY - JOUR T1 - Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids AU - Yukun Song AU - Yang Chen Y1 - 2016/06/30 PY - 2016 N1 - https://doi.org/10.11648/j.sjams.20160404.13 DO - 10.11648/j.sjams.20160404.13 T2 - Science Journal of Applied Mathematics and Statistics JF - Science Journal of Applied Mathematics and Statistics JO - Science Journal of Applied Mathematics and Statistics SP - 134 EP - 140 PB - Science Publishing Group SN - 2376-9513 UR - https://doi.org/10.11648/j.sjams.20160404.13 AB - This paper study the Navier-Stoke-Poisson equations for compressible non-Newtonian fluids in one dimensional bounded intervals. The motion of the fluid is driven by the compressible viscous isentropic flow under the self-gravitational and an external force. The local existence and uniqueness of strong solutions was proved based on some compatibility condition. The main condition is that the initial density vacuum is allowed. VL - 4 IS - 4 ER -
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