Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Existence of the unique strong solution for a class of non-Newtonian fluids with vacuum


Authors: Xiaojing Xu and Hongjun Yuan
Journal: Quart. Appl. Math. 66 (2008), 249-279
MSC (2000): Primary 76A05, 76N10
DOI: https://doi.org/10.1090/S0033-569X-08-01103-9
Published electronically: 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

DOI: https://doi.org/10.1090/S0033-569X-08-01103-9
Keywords: Existence and uniqueness, non-Newtonian fluid, vacuum
Received by editor(s): May 16, 2006
Published electronically: February 8, 2008
Additional Notes: Supported by program 985 of Jilin University; China Postdoctoral Sciences Foundation; NSF Grants [10571072] and [10601009]; Program 973 [2006cb805900]
Article copyright: © Copyright 2008 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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