Stability of solutions for a heat equation with memory

This article concerns the heat equation with a memory term in the form of a time-convolution of a kernel with the time-derivative of the state. This problem appears in oil recovery simulation in fractured rock reservoir. It models the fluid flow in a fissured media where the history of the flow...

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Bibliographic Details
Main Authors: Nasser-eddine Tatar, Sebti Kerbal, Asma Al-Ghassani
Format: Article
Language:English
Published: Texas State University 2017-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/303/abstr.html