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Two Series Formulae from the Solution of a System of Diffusion Equations

Analysis of PDEs 2014-04-18 v1

Abstract

From the solution of the heat and mass diffusion equations that describe the exothermic physical absorption of a gas into a liquid, compact formulae for the sums of two infinite series are derived. The method is general and should be applicable to other systems of linear, parabolic partial differential equations.

Keywords

Cite

@article{arxiv.1404.4595,
  title  = {Two Series Formulae from the Solution of a System of Diffusion Equations},
  author = {Siddharth G. Chatterjee},
  journal= {arXiv preprint arXiv:1404.4595},
  year   = {2014}
}

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6 pages