Applications to Boundary Value Problems

Ram P. Kanwal
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Ram P. Kanwal: The Pennsylvania State University, Department of Mathematics

Chapter Chapter 11 in Generalized Functions Theory and Technique, 1998, pp 297-343 from Springer

Abstract: Abstract In this chapter we present solutions to boundary value problems, arising in various disciplines of mathematical physics for axially symmetric bodies, including dumbbells, elongated rods, and prolate bodies, of which spheres and spheroids are special cases. The methods rest on exploring the fundamental solutions of partial differential equations, as presented in the previous chapters, and then taking a suitable axial distribution of the Dirac delta function and its derivatives on a segment of the axis of symmetry of the body. This idea is extended to include distribution of these functions on arbitrary straight lines, curves, and disks [47–55].

Keywords: Fundamental Solution; Displacement Field; Force Function; Fredholm Integral Equation; Stoke Flow (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4684-0035-9_11

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