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

Authors :: Nachid, Halima; Department of Mathematics and Informatics, Universite Nangui Abrogoua, UFR-SFA, 02 BP 801 Abidjan
N'Gohisse, F.; Department of Mathematics and Informatics, Universite Peleforo Gon Coulibaly de Korhogo, UFR-Sciences Biologiques, BP 1328 Korhogo
Koffi, N'Guessan; Department of Mathematics and Informatics, Universite Alassane Ouattara de Bouake, UFR-SED, 01 BP V 18 Bouake 01
Nachid, Halima; Department of Mathematics and Informatics, Universite Nangui Abrogoua, UFR-SFA, 02 BP 801 Abidjan
N'Gohisse, F.; Department of Mathematics and Informatics, Universite Peleforo Gon Coulibaly de Korhogo, UFR-Sciences Biologiques, BP 1328 Korhogo
Koffi, N'Guessan; Department of Mathematics and Informatics, Universite Alassane Ouattara de Bouake, UFR-SED, 01 BP V 18 Bouake 01
Source :: The Journal of the Indian Mathematical Society; Volume 88, Issue 1-2, January-June 2021; 155â€“175; 2455-6475; 0019-5839
Publication Year :: 2021
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.

Database :: OAIster
Journal :: The Journal of the Indian Mathematical Society; Volume 88, Issue 1-2, January-June 2021; 155â€“175; 2455-6475; 0019-5839
Notes :: application/pdf, English
Publication Type :: Electronic Resource
Accession number :: edsoai.on1286999491
Document Type :: Electronic Resource

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