On boundary value problems for the domain exterior to a thin or slender region (Q761269)

In this paper a method for obtaining uniformly valid asymptotic expansions of the solutions of boundary value problems in domains exterior to thin or slender regions is given. This approach combines Tuck's method, based on the use of a suitable co-ordinates system with the method given by \textit{R. A. Handelsman} and \textit{J. B. Keller} [J. Fluid Mech. 28, 131-147 (1967; Zbl 0148.207) and SIAM J. Appl. Math. 15, 824-841 (1967; Zbl 0149.323)] yielding complete uniform asymptotic expansions of solutions for slender body problems. Our method avoids the determination of the extremities of the segment containing singularities; it is pointed out that this last problem is a pure geometrical one and independent of solving concrete boundary value problems in the given domain.