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Zbl 1166.74004
Malaspina, A.
On the traction problem in mechanics. (English)
[J] Arch. Mech. 57, No. 6, 479-491 (2005). ISSN 0373-2029

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 {\it A. Cialdea} and {\it G. L. Hsiao}, employing a method introduced by {\it 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.

MSC 2000:: *74B05 Classical linear elasticity
76D07 Stokes flows
35Q30 Stokes and Navier-Stokes equations
35Q72 Other PDE from mechanics

Keywords: Lamé equations; Stokes system; boundary integral equations; double layer potential

Citations: Zbl 0946.35108; Zbl 0676.35017

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