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

Xu, Xiaojing; Yuan, Hongjun

doi:10.1090/S0033-569X-08-01103-9

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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