Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the initial-boundary value problem for a Bingham fluid in a three-dimensional domain


Author: Jong Uhn Kim
Journal: Trans. Amer. Math. Soc. 304 (1987), 751-770
MSC: Primary 35Q10; Secondary 76A99
MathSciNet review: 911094
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Abstract: The initial-boundary value problem associated with the motion of a Bingham fluid is considered. The existence and uniqueness of strong solution is proved under a certain assumption on the data. It is also shown that the solution exists globally in time when the data are small and that the solution converges to a periodic solution if the external force is time-periodic.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0911094-7
Article copyright: © Copyright 1987 American Mathematical Society