Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids
Science Journal of Applied Mathematics and Statistics
Volume 4, Issue 4, August 2016, Pages: 134-140
Received: Jun. 26, 2016; Published: Jun. 30, 2016
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Yukun Song, College of Science, Liaoning University of Technology, Jinzhou, P. R. China
Yang Chen, College of Science, Liaoning University of Technology, Jinzhou, P. R. China
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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.
Strong Solutions, Navier-Stokes-Poisson Equations, Non-Newtonian Fluids, Vacuum
To cite this article
Yukun Song, Yang Chen, Strong Solutions of Navier-Stokes-Poisson Equations for Compressible Non-Newtonian Fluids, Science Journal of Applied Mathematics and Statistics. Vol. 4, No. 4, 2016, pp. 134-140. doi: 10.11648/j.sjams.20160404.13
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