Title : ( Global existence and general decay of solutions for a quasi-linear parabolic system with a weak-viscoelastic term )
Authors: Faramarz Tahamtaniy , Mohammad Shahrouzi ,
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Abstract
In this work, we study a quasi-linear parabolic equation with a weak-viscoelastic term of the form A(t)jutjm????2ut + 2u ???? (t)(g 2u) = jujp????2u; in a bounded domain in Rn where m; p 2 and A(t) is a bounded and positive denite matrix. By using the perturbed energy functional technique, we establish global existence and a general decay result, which depends on the behavior of both and g.
Keywords
, Global existence, General decay, Parabolic equation, weak viscoelastic
@article{paperid:1098069,
author = {فرامز تهمطنی and Shahrouzi, Mohammad},
title = {Global existence and general decay of solutions for a quasi-linear parabolic system with a weak-viscoelastic term},
journal = {Applied Mathematics E-Notes},
year = {2023},
volume = {23},
number = {2023},
month = {September},
issn = {1607-2510},
pages = {360--369},
numpages = {9},
keywords = {Global existence; General decay; Parabolic equation; weak viscoelastic},
}
%0 Journal Article
%T Global existence and general decay of solutions for a quasi-linear parabolic system with a weak-viscoelastic term
%A فرامز تهمطنی
%A Shahrouzi, Mohammad
%J Applied Mathematics E-Notes
%@ 1607-2510
%D 2023
