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On the transient atomic/heat diffusion in cylinders and spheres with phase change: a method to derive closed-form solutions

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Publication:2033822
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DOI10.1155/2021/6624287zbMath1486.74113OpenAlexW3127914392MaRDI QIDQ2033822

Yanyan Li

Publication date: 17 June 2021

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/6624287


zbMATH Keywords

solidificationsolid-state diffusion


Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Transformations involving diffusion in solids (74N25) Analysis of microstructure in solids (74N15)




Cites Work

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  • Accurate solutions of moving boundary problems using the enthalpy method
  • A similarity solution for the solidification of a multicomponent alloy
  • On a dissolution-diffusion model. Existence, uniqueness, regularity and simulations
  • Diffusion and Electrolytic Conduction in Crystals (Ionic Semiconductors)


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