Journal of Applied Nonlinear Dynamics
Initialboundary Value Problems to the Onedimensional Compressible Navier StokesPoisson system with Large Amplitude
Journal of Applied Nonlinear Dynamics 5(2) (2016) 231241  DOI:10.5890/JAND.2016.06.009
Li Wang; Lei Jin
School of Applied Mathematics, Xiamen, Fujian Province, Xiamen, 361024 China
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Abstract
Magnetic fluid is a new type of functional material. The motion of compressible, viscous selfgravitating fluids can be expressed by NavierStokesPoisson equations. This study demonstrates the global, nonvacuum solutions with large amplitude to the initialboundary value problem of the onedimensional compressible Navier StokesPoisson system with degenerate dependent viscosity coefficients and density and temperature dependent heat conductivity coefficients. The main constituent of the detail analysis is to derive the positive lower and upper bounds on the specific volume and the absolute temperature.
Acknowledgments
This research was supported by National Natural Science Foundation of ChinaNSAF (Nos. 11226174), Xiamen University of Technology Foreign Science and Technology Cooperation and Communication Foundation (E201400200), Xiamen University of Technology Highlevel personnel Foundation (YKJ14038), Fujian Class A Foundation (JA14242). The writers are very grateful to the editor and the anonymous reviewers for their insightful comments and suggestions.
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