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

Kim, Jong Uhn

doi:10.1090/S0002-9947-1987-0911094-7

On the initial-boundary value problem for a Bingham fluid in a three-dimensional domain
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Trans. Amer. Math. Soc. 304 (1987), 751-770 Request permission

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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Navier-Stokes equations