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Stokes equations with non-smooth data. (English) Zbl 0702.35202

Summary: We study a result of existence and uniqueness of a solution for Stokes equations with non-smooth data. The analysis of the problem is based on the duality or transposition method introduced by J. L. Lions and E. Magenes [Problèmes aux limites non-homogènes et applications. Vol. 1, 2 (1968; Zbl 0165.108)] for tackling elliptic boundary-value problems.

MSC:

35Q35 PDEs in connection with fluid mechanics
35J55 Systems of elliptic equations, boundary value problems (MSC2000)
35D05 Existence of generalized solutions of PDE (MSC2000)
76D07 Stokes and related (Oseen, etc.) flows

Citations:

Zbl 0165.108
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