The third problem for the Stokes system in bounded domain
نویسنده
چکیده
The third problem for the Stokes system is studied on a bounded domain in R with Ljapunov connected boundary. We construct a solution of this problem in the form of appropriate potentials and determine unknown source densities via integral equation systems on the boundary of the domain. The solution is given explicitly in the form of a series. Then we study the integral equation which we obtain using the direct integral equation method. Again, we prove the applicability of the successive approximation method for solving this integral equation.
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