General and optimal decay in a linear viscoelastic equation
Dissertant
Thesis advisor
Ilayyan, Ala al-Din
Talahmah, Ala Ata
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2021
English Abstract
Our objective in this thesis is to find general and explicit energy decay results of the following viscoelastic equation utt(x, t)−_u(x, t)+u(x, t)+Z t 0 g(t−s) _u (x, s) ds = 0 where the relaxation function satisfies a new relation of the form g0(t) _ −_(t)gp(t), 8t _ 0, where 1_p< 3 2 and _: IR+ −! (0, +1) is a nonincreasing differentiable function.
We use the multiplier method to establish new explicit decay results depending on p, _.
In addition of our theoretical results, we give a two-dimensional numerical examples to illustrate the exponential and polynomial decay of solutions.
Our thesis generalizes and improve earlier existing results in the literature.
Main Subjects
No. of Pages
90
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : General and optimal decay in a linear viscoelastic equation.
Chapter Three : General and optimal decay for a quasilinear viscoelastic equation.
Chapter Four : General and optimal decay in a linear viscoelastic equation.
Chapter Five : Numerical study.
Chapter Seven : Conclusions and future work.
References.
American Psychological Association (APA)
Shadid, Rasha Muhammad. (2021). General and optimal decay in a linear viscoelastic equation. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-1412154
Modern Language Association (MLA)
Shadid, Rasha Muhammad. General and optimal decay in a linear viscoelastic equation. (Master's theses Theses and Dissertations Master). Birzeit University. (2021).
https://search.emarefa.net/detail/BIM-1412154
American Medical Association (AMA)
Shadid, Rasha Muhammad. (2021). General and optimal decay in a linear viscoelastic equation. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-1412154
Language
English
Data Type
Arab Theses
Record ID
BIM-1412154