Anomalous pseudo-parabolic Kirchhoff-type dynamical model

In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is obtained by employing the Contraction Mapping...

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Autores principales:	Dai Xiaoqiang, Han Jiangbo, Lin Qiang, Tian Xueteng
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	pseudo-parabolic kirchhoff-type equation global existence asymptotic behavior blowup 35b40 35r11 35k55 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/67f3aa31ee28411b966370f542969cd5
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id	oai:doaj.org-article:67f3aa31ee28411b966370f542969cd5
record_format	dspace
spelling	oai:doaj.org-article:67f3aa31ee28411b966370f542969cd52021-12-05T14:10:40ZAnomalous pseudo-parabolic Kirchhoff-type dynamical model2191-94962191-950X10.1515/anona-2021-0207https://doaj.org/article/67f3aa31ee28411b966370f542969cd52021-10-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0207https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XIn this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is obtained by employing the Contraction Mapping Principle. Then, we get the global existence of solution, long time behavior of global solution and blowup solution for J(u0) ⩽ d, respectively. In particular, the lower and upper bound estimates of the blowup time are given for J(u0)<d. Finally, we discuss the blowup of solution in finite time and also estimate an upper bound of the blowup time for high initial energy.Dai XiaoqiangHan JiangboLin QiangTian XuetengDe Gruyterarticlepseudo-parabolic kirchhoff-type equationglobal existenceasymptotic behaviorblowup35b4035r1135k55AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 503-534 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	pseudo-parabolic kirchhoff-type equation global existence asymptotic behavior blowup 35b40 35r11 35k55 Analysis QA299.6-433
spellingShingle	pseudo-parabolic kirchhoff-type equation global existence asymptotic behavior blowup 35b40 35r11 35k55 Analysis QA299.6-433 Dai Xiaoqiang Han Jiangbo Lin Qiang Tian Xueteng Anomalous pseudo-parabolic Kirchhoff-type dynamical model
description	In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is obtained by employing the Contraction Mapping Principle. Then, we get the global existence of solution, long time behavior of global solution and blowup solution for J(u0) ⩽ d, respectively. In particular, the lower and upper bound estimates of the blowup time are given for J(u0)<d. Finally, we discuss the blowup of solution in finite time and also estimate an upper bound of the blowup time for high initial energy.
format	article
author	Dai Xiaoqiang Han Jiangbo Lin Qiang Tian Xueteng
author_facet	Dai Xiaoqiang Han Jiangbo Lin Qiang Tian Xueteng
author_sort	Dai Xiaoqiang
title	Anomalous pseudo-parabolic Kirchhoff-type dynamical model
title_short	Anomalous pseudo-parabolic Kirchhoff-type dynamical model
title_full	Anomalous pseudo-parabolic Kirchhoff-type dynamical model
title_fullStr	Anomalous pseudo-parabolic Kirchhoff-type dynamical model
title_full_unstemmed	Anomalous pseudo-parabolic Kirchhoff-type dynamical model
title_sort	anomalous pseudo-parabolic kirchhoff-type dynamical model
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/67f3aa31ee28411b966370f542969cd5
work_keys_str_mv	AT daixiaoqiang anomalouspseudoparabolickirchhofftypedynamicalmodel AT hanjiangbo anomalouspseudoparabolickirchhofftypedynamicalmodel AT linqiang anomalouspseudoparabolickirchhofftypedynamicalmodel AT tianxueteng anomalouspseudoparabolickirchhofftypedynamicalmodel
_version_	1718371843131310080

Anomalous pseudo-parabolic Kirchhoff-type dynamical model

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