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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Initial-boundary Value Problems to the One-dimensional Compressible Navier- Stokes-Poisson system with Large Amplitude

Journal of Applied Nonlinear Dynamics 5(2) (2016) 231--241 | 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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Magnetic fluid is a new type of functional material. The motion of com-pressible, viscous self-gravitating fluids can be expressed by Navier-Stokes-Poisson equations. This study demonstrates the global, non-vacuum solutions with large amplitude to the initialboundary value problem of the one-dimensional compressible Navier- Stokes-Poisson 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.


This research was supported by National Natural Science Foundation of China-NSAF (Nos. 11226174), Xiamen University of Technology Foreign Science and Technology Cooperation and Communication Foundation (E201400200), Xiamen University of Technology High-level 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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