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An Integrodifferential Equation of Atomic Diffusion

In: Integral Methods in Science and Engineering

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  • Yuri A. Antipov

Abstract

Antipov and Gao [1] analyzed the model problem of mass transport from a point source into an infinite grain boundary. The authors found the solution by quadratures, a series representation, and an asymptotic expansion for large arguments. It was also shown that the problem for a semi-infinite grain boundary is solvable in the same class as that for an infinite grain boundary. The authors pointed out that the method for the problem on an infinite boundary could be adjusted for the semi-infinite case. The complete solution was found for the infinite grain boundary only. Here the case of a semi-infinite grain boundary is analyzed. The problem of atomic diffusion from the surface $$ \left\{ { - \infty

Suggested Citation

  • Yuri A. Antipov, 2002. "An Integrodifferential Equation of Atomic Diffusion," Springer Books, in: Christian Constanda & Peter Schiavone & Andrew Mioduchowski (ed.), Integral Methods in Science and Engineering, chapter 6, pages 39-44, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0111-3_6
    DOI: 10.1007/978-1-4612-0111-3_6
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