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On the traction problem in mechanics. (English) Zbl 1166.74004
Summary: We show how to solve the traction problem for the Lamé and Stokes systems by means of a double layer potential. In this way, we complete the results of [Rend. Accad. Naz. Sci. XL, Mem. Mat. Appl. (5) 19, 25–42 (1995; Zbl 0946.35108)], where A. Cialdea and G. L. Hsiao, employing a method introduced by A. Cialdea in [Rend. Accad. Naz. Sci. Detta XL, V. Ser. 12, No. 1, 181–200 (1988; Zbl 0676.35017)], solve the Dirichlet problem for Lamé and Stokes systems by means of a simple layer potential.
74B05Classical linear elasticity
76D07Stokes and related (Oseen, etc.) flows
35Q30Stokes and Navier-Stokes equations
35Q72Other PDE from mechanics (MSC2000)