Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom