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Fast diffusion in a porous building material with a nonlocal source

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Listed:
  • Zhang, Xiao
  • Yang, Chunxiao
  • Yang, Jinge

Abstract

Fast diffusion is of great importance in concrete solidification, and this paper suggests a modified Fick law to deduce a fast diffusion equation with a nonlocal source. Its global and non-global solutions are obtained, and the critical Fujita exponent and second critical exponent are discussed. A numerical example is given to elucidate the basic properties of the fast diffusion process. The theoretical results shed a promising light on an extremely fast solidification of a concrete in building an artificial island or an urgent repairing in an accident.

Suggested Citation

  • Zhang, Xiao & Yang, Chunxiao & Yang, Jinge, 2020. "Fast diffusion in a porous building material with a nonlocal source," Applied Mathematics and Computation, Elsevier, vol. 382(C).
    • Handle: RePEc:eee:apmaco:v:382:y:2020:i:c:s0096300320302939
    DOI: 10.1016/j.amc.2020.125327
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    References listed on IDEAS

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    1. Ji-Huan He, 2012. "Homotopy Perturbation Method with an Auxiliary Term," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, February.
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