Title : ( Coupled system of nonlinear viscoelastic plate equations of (p(x),q(x))‐Kirchhoff‐type: Global existence, general decay, and blow‐up )
Authors: Mohammad Shahrouzi , Jorge Ferreira , Faramarz Tahamtani ,
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Abstract
This work studies the global behavior of solutions for a system of (p(x), q(x))- Kirchhoff-type equations. We prove the global existence of solutions, and next, by constructing suitable auxiliary functionals, the general decay of solutions has been confirmed when the exponents satisfy appropriate conditions. Also, under suitable conditions on data, we establish the finite time blow-up of solutions with negative initial energy. Our results extend and improve many earlier results in the literature.
Keywords
, blow-up, general decay, global existence, system of Kirchhoff-type, variable exponents
@article{paperid:1098072,
author = {Shahrouzi, Mohammad and جرج فریرا and فرامرز تهمتنی},
title = {Coupled system of nonlinear viscoelastic plate equations of (p(x),q(x))‐Kirchhoff‐type: Global existence, general decay, and blow‐up},
journal = {Mathematical Methods in the Applied Sciences},
year = {2024},
volume = {47},
number = {4},
month = {March},
issn = {0170-4214},
pages = {2472--2499},
numpages = {27},
keywords = {blow-up; general decay; global existence; system of Kirchhoff-type; variable exponents},
}
%0 Journal Article
%T Coupled system of nonlinear viscoelastic plate equations of (p(x),q(x))‐Kirchhoff‐type: Global existence, general decay, and blow‐up
%A Shahrouzi, Mohammad
%A جرج فریرا
%A فرامرز تهمتنی
%J Mathematical Methods in the Applied Sciences
%@ 0170-4214
%D 2024
