Jian Liu, Ruxu Lian
Abstract:
In this article, we consider the free boundary value problem
for one-dimensional compressible bipolar Navier-Stokes-Possion (BNSP)
equations with density-dependent viscosities.
For general initial data with finite energy and the density connecting
with vacuum continuously, we prove the global existence of the weak solution.
This extends the previous results for compressible NS [27] to NSP.
Submitted May 3, 2013. Published September 11, 2013.
Math Subject Classifications: 35Q35, 76N03.
Key Words: Free boundary value problem; global weak solution;
bipolar Navier-Stokes-Possion equations.
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Jian Liu College of Teacher Education, Quzhou University Quzhou 324000, China email: liujian.maths@gmail.com |
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Ruxu Lian College of Mathematics and Information Science North China University of Water Resources and Electric Power Zhengzhou 450011, China email: ruxu.lian.math@gmail.com |
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