Blow up of Solution for a Nonlinear Viscoelastic Problem with Internal Damping and Logarithmic Source Term

This paper is concerned with blow up of weak solutions of the following nonlinear viscoelastic problem with internal damping and logarithmic source term |ut|ρutt + M(∥u∥2)(-∆u) - ∆utt + Z0t g(t - s)∆u(s)ds + ut = u|u|p R-2 ln |u|k R with Dirichlet boundary initial conditions in a bounded domain Ω ⊂...

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Bibliographic Details

Published in:	Вестник КазНУ. Серия математика, механика, информатика
Main Authors:	J. Ferreira, M. Shahrouzi, S. Cordeiro, D. Rocha
Format:	Article
Language:	English
Published:	Al-Farabi Kazakh National University 2022-12-01
Subjects:	nonlinear viscoelastic equation logarithmic source blow up local existence
Online Access:	https://bm.kaznu.kz/index.php/kaznu/article/view/1194/682