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A finite‐time blow‐up result for a class of solutions with positive initial energy for coupled system of heat equations with memories
Author(s) -
Braik Abdelkader,
Miloudi Yamina,
Zennir Khaled
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4695
Subject(s) - mathematics , class (philosophy) , dirichlet boundary condition , energy (signal processing) , boundary value problem , heat equation , mathematical analysis , zero (linguistics) , linguistics , statistics , philosophy , artificial intelligence , computer science
In this article, we are interested by a system of heat equations with initial condition and zero Dirichlet boundary conditions. We prove a finite‐time blow‐up result for a large class of solutions with positive initial energy.