Global existence and uniqueness of solution of the initial boundary value problem for a class of non-Newtonian fluids with vacuum |
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| Authors: | Li Yin Xiaojing Xu Hongjun Yuan |
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| Institution: | (1) Institute of Mathematics, Jilin University, Changchun, Jilin, 130012, China;(2) LCP, Institute of Applied Physics and Computational Mathematics, P.O.8009, Subbox 28, Beijing, 100088, China;(3) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China;(4) Institute of Applied Physics and Computational Mathematics, P.O.8009, Subbox 28, Beijing, 100088, China |
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| Abstract: | The aims of this paper are to discuss global existence and uniqueness of solution for a class of non-Newtonian fluids with
vacuum in one-dimensional bounded interval. The important point in this paper is that we allow the initial vacuum. In particular,
these results are used to prove similar results for more general non-Newtonian fluids, and applied to numerical computation.
This work is partially supported by the 985 program of Jilin University, China Postdoctoral Sciences Foundation, and NSF Grant
(10571072]; 10601009]). |
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| Keywords: | 76N10 76A05 |
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