The Phenomenon of Quenching for a Reaction-Diffusion System with Non-Linear Boundary Conditions

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Authors

  • Halima Nachid
     Department of Mathematics and Informatics, Universite Nangui Abrogoua, UFR-SFA, 02 BP 801 Abidjan ,CI
  • F. N'Gohisse
     Department of Mathematics and Informatics, Universite Peleforo Gon Coulibaly de Korhogo, UFR-Sciences Biologiques, BP 1328 Korhogo ,CI
  • N'Guessan Koffi
     Department of Mathematics and Informatics, Universite Alassane Ouattara de Bouake, UFR-SED, 01 BP V 18 Bouake 01 ,CI

DOI:

https://doi.org/10.18311/jims/2021/26056

Keywords:

Quenching, reaction-diffusion system, finite difference, numerical quenching time, nonlinear boundary condition, maximum principles

Abstract

We study the quenching behavior of the solution of a semi- linear reaction-diffusion system with nonlinear boundary conditions. We prove that the solution quenches in finite time and its quenching time goes to the one of the solution of the differential system. We also obtain lower and upper bounds for quenching time of the solution.

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Published

2021-01-28

How to Cite

Nachid, H., N’Gohisse, F., & Koffi, N. (2021). The Phenomenon of Quenching for a Reaction-Diffusion System with Non-Linear Boundary Conditions. The Journal of the Indian Mathematical Society, 88(1-2), 155–175. https://doi.org/10.18311/jims/2021/26056

Issue

Volume 88, Issue 1-2, January-June 2021

Section

Articles

License

Copyright (c) 2021 Halima Nachid, F. N'Gohisse, N'Guessan Koffi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-09-14
Accepted 2020-09-16
Published 2021-01-28

 

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