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Existence of the unique strong solution for a class of non-Newtonian fluids with vacuum
Author(s):
Xiaojing
Xu;
Hongjun
Yuan
Journal:
Quart. Appl. Math.
66
(2008),
249-279.
MSC (2000):
Primary 76A05, 76N10
Posted:
February 8, 2008
MathSciNet review:
2416773
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Abstract:
The aims of this paper are to discuss local existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum in one-dimensional bounded intervals. The important point in this paper is that we allow the initial vacuum.
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Additional Information:
Xiaojing
Xu
Affiliation:
Sch. Math. Sci. & Lab. Math. Com. Sys., Beijing Normal University, Beijing, 100875, China, and Institute of Mathematics, Jilin University, Changchun, Jilin, 130012, China
Email:
xjxu@bnu.edu.cn
Hongjun
Yuan
Affiliation:
Institute of Mathematics, Jilin University, Changchun, Jilin, 130012, China
Email:
hjy@jlu.edu.cn
PII:
S0033-569X-08-01103-9
Keywords:
Existence and uniqueness,
non-Newtonian fluid,
vacuum
Received by editor(s):
May 16, 2006
Posted:
February 8, 2008
Additional Notes:
Supported by program 985 of Jilin University; China Postdoctoral Sciences Foundation; NSF Grants [10571072] and [10601009]; Program 973 [2006cb805900]
Copyright of article:
Copyright
2008,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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