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Abstract: We analyze model problems of stress induced atomic di usion from a point source or the surface of a material into an in nite or semi-in nite grain boundary, respectively. The problems are formulated in terms of a partial di erential equations which involve singular integral operators. The self-similarity of these equations leads to singular integro-di erential equations which are solved in closed form by reduction to an exceptional case of the Riemann boundary value problem of the theory of... (Update)
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BibTeX entry: (Update)
Y.A.Antipov and H.Gao, Exact solution of integro-di erential equations of di usion along a grain boundary, submitted to Q. Jl Mech. appl. Math., May 1999 (preprint 99/15, University of Bath). http://citeseer.ist.psu.edu/antipov99exact.html More
@misc{ antipov99exact,
author = "Y. Antipov and H. Gao",
title = "Exact solution of integro-di erential equations of di usion along a grain
boundary",
text = "Y.A.Antipov and H.Gao, Exact solution of integro-di erential equations
of di usion along a grain boundary, submitted to Q. Jl Mech. appl. Math.,
May 1999 (preprint 99/15, University of Bath).",
year = "1999",
url = "citeseer.ist.psu.edu/antipov99exact.html" }
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