Global existence and blow-up of solutions for a Kirchhoff type plate equation with damping

Jun Zhou

Type: Article

Publication Date: 2015-06-18

Citations: 29

DOI: https://doi.org/10.1016/j.amc.2015.05.098

View

Locations

Applied Mathematics and Computation - View

Similar Works

Action	Title	Year	Authors
+	Global existence and energy decay estimate of solutions for a higher-order Kirchhoff type equation with damping and source term	2013	Yaojun Ye
+	The existence, asymptotic behaviour and blow-up of solution of a plate equation with nonlinear averaged damping	2024	Hongwei Zhang Ling Liu Hongyun Yue Donghao Li Khaled Zennir
+	Global Existence and Energy of Kirchhoff Type Equations Terms Decay for a Coupled System with Damping and Source	2016	Yao-jun Ye
+	Global existence and energy decay for a coupled system of Kirchhoff type equations with damping and source terms	2016	Yaojun Ye
+	Stabilization and blow-up for a class of weakly damped Kirchhoff plate equation with logarithmic nonlinearity	2023	Qingqing Peng Zhifei Zhang
+ PDF Chat	Global existence and exponential stability for a nonlinear thermoelastic Kirchhoff–Love plate	2017	Irena Lasiecka Michael Pokojovy Xiang Wan
+	Global Existence and Blow-Up for a Kirchhoff-Type Hyperbolic Problem with Logarithmic Nonlinearity	2020	Xiang-kun Shao
+	Asymptotic behavior for the Kirchhoff type plate equation with nonlocal nonlinear damping	2024	Ling Xu Runjie Liu Jianhua Huang
+	Infinite time blow-up of solutions for a plate equation with weak damping and logarithmic nonlinearity	2024	Xiang-kun Shao Nan‐jing Huang Donal O’Regan
+	Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term	2017	Mohammad M. Al‐Gharabli Salim A. Messaoudi
+	Global existence and blow-up of solutions for some hyperbolic systems with damping and source terms	2005	L. Liu Mengyang Wang
+	Global Existence and Uniform Decay of Solutions for a Kirchhoff Beam Equation with Nonlinear Damping and Source Term	2021	Ducival Carvalho Pereira C. A. Raposo Celsa H. M. Maranhão Adriano Pedreira Cattai
+	General decay and blow up of solutions for the Kirchhoff plate equation with dynamic boundary conditions, delay and source terms	2022	Houria Kamache Nouri Boumaza Billel Gheraibia
+	Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source	2009	Xiaosen Han Mingxin Wang
+	EXISTENCE AND NONEXISTENCE OF GLOBAL CONTINUOUS SOLUTIONS TO RIEMANN PROBLEM FOR DAMPED p -SYSTEM	1993	Longwer Lin Tong Yang
+	GLOBAL EXISTENCE, DECAY AND BLOW-UP OF SOLUTIONS FOR THE HIGHER-ORDER NONLINEAR KIRCHHOFF TYPE EQUATION WITH A STRONG DISSIPATION	2017	Guoguang Lin Yunlong Gao Yuting Sun
+	Global Existence and Decay Property for the Cauchy Problem of the Nonlinear MGT Plate Equation	2024	Danhua Wang Wenjun Liu
+	Blow up and Growth of Solutions for a Kirchhoff-Type Plate Equation With Degenerate Damping	2024	Fatma Ekinci Erhan Pışkın
+	Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term	2023	Gongwei Liu Yangyang Lu null Hongwei Zhang
+	Well-posedness and stability of a nonlinear plate model with energy damping	2024	Eduardo H. Gomes Tavares Linfang Liu Vando Narciso Jinyun Yuan

Cited by (24)

Action	Title	Year	Authors
+	Finite time blow-up for a class of parabolic or pseudo-parabolic equations	2018	Fenglong Sun Lishan Liu Yonghong Wu
+	Nonconforming quadrilateral finite element method for nonlinear Kirchhoff‐type equation with damping	2019	Dongyang Shi Yanmi Wu
+ PDF Chat	Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy	2020	Lishan Liu Fenglong Sun Yonghong Wu
+ PDF Chat	A Nonlinear $r(x)$-Kirchhoff Type Hyperbolic Equation: Stability Result and Blow up of Solutions with Positive Initial Energy	2021	Mohammad Shahrouzi Jorge Ferreira
+	Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term	2022	Abita Rahmoune
+	Stabilization and blow-up for a class of weakly damped Kirchhoff plate equation with logarithmic nonlinearity	2023	Qingqing Peng Zhifei Zhang
+	Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem	2020	Hang Ding Jun Zhou
+ PDF Chat	Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity	2020	Xu Liu Jun Zhou
+ PDF Chat	Blow-up phenomena for the sixth-order Boussinesq equation with fourth-order dispersion term and nonlinear source	2021	Jin‐Xing Liu Xiongrui Wang Jun Zhou Huan Zhang
+ PDF Chat	Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains	2021	Xiaobin Yao
+	Global existence and finite time blow-up for a class of fractional $ p $-Laplacian Kirchhoff type equations with logarithmic nonlinearity	2020	Fugeng Zeng Peng Shi Min Jiang
+ PDF Chat	Asymptotic behavior of plate equations driven by colored noise on unbounded domains	2023	Xiao Bin Yao
+	On behavior of solutions to a Petrovsky equation with damping and variable-exponent source	2021	Menglan Liao Zhong Tan
+	Infinite time blow-up of solutions for a plate equation with weak damping and logarithmic nonlinearity	2024	Xiang-kun Shao Nan‐jing Huang Donal O’Regan
+	Multiplicity Results for Kirchhoff-Type Three-Point Boundary Value Problems	2018	Shapour Heidarkhani Массимилиано Феррара Giuseppe Caristi Amjad Salari
+	Global Existence and Blow-Up for a Kirchhoff-Type Hyperbolic Problem with Logarithmic Nonlinearity	2020	Xiang-kun Shao
+	Blow-Up of Solutions to the Fourth-Order Equation with Variable-Exponent Nonlinear Weak Damping	2023	Menglan Liao Qingwei Li
+	Variational approaches to <i>p</i>-Laplacian discrete problems of Kirchhoff-type	2017	Shapour Heidarkhani G. A. Afrouzi Johnny Henderson Shahin Moradi Giuseppe Caristi
+	Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term	2017	Fenglong Sun Lishan Liu Yonghong Wu
+	Asymptotic behavior of plate equations with memory driven by colored noise on unbounded domains	2022	Xiao Bin Yao Chan Yue
+	General decay and blow up of solutions for a plate viscoelastic <i>p</i> ( <i>x</i> )-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback	2023	Jorge Ferreira Erhan Pışkın Mohammad Shahrouzi
+	Global existence and blow-up phenomenon for a quasilinear viscoelastic equation with strong damping and source terms	2022	Huafei Di Zefang Song
+	Blow-up of solutions for a Kirchhoff type equation with variable-exponent nonlinearities	2020	Mohammad Shahrouzi Firoozeh Kargarfard
+ PDF Chat	Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level	2019	Lishan Liu Fenglong Sun Yonghong Wu

Citing (28)

Action	Title	Year	Authors
+	On the strongly damped wave equation with nonlinear damping and source terms	2009	Shengqi Yu
+ PDF Chat	Systems of nonlinear wave equations with damping and source terms	2006	Keith Agre Mohammad A. Rammaha
+	ON GLOBAL SOLUTIONS AND BLOW-UP OF SOLUTIONS FOR A NONLINEARLY DAMPED PETROVSKY SYSTEM	2009	Shun-Tang Wu Long-Yi Tsai
+	Nonexistence of global solutions to a class of nonlinear wave equations with dynamic boundary conditions	2002	M. Guedda Halima Labani
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	On a Global Solution and Asymptotic Behaviour for the Generalized Damped Extensible Beam Equation	1997	Solange Kouémou Patcheu
+	On Global Solutions and Blow-up Solutions of Nonlinear Kirchhoff Strings with Nonlinear Dissipation	1997	Kosuke Ono
+	On a mixed problem for a class of nonlinear Klein-Gordon equations	1988	L. A. Medeiros G. Perla Menzala
+	Dynamics of classical solitons (in non-integrable systems)	1978	V.G. Makhankov
+ PDF Chat	Initial-boundary value problems for an extensible beam	1973	J. M. Ball
+	Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations with Dynamic Boundary Conditions	1995	Mokhtar Kirane Saïd Kouachi Nasser‐eddine Tatar
+	Remark on the decay for damped string and beam equations	1986	Piotr Biler
+	GLOBAL EXISTENCE AND ASYMPTOTIC STABILITY FOR THE NONLINEAR AND GENERALIZED DAMPED EXTENSIBLE PLATE EQUATION	2004	Marcelo M. Cavalcanti V. N. Domingos Cavalcanti J.A. Soriano
+	Global Existence, Decay, and Blowup of Solutions for Some Mildly Degenerate Nonlinear Kirchhoff Strings	1997	Kosuke Ono
+	Nonexistence of Global Solutions of Some Quasilinear Hyperbolic Equations	1997	Mehmet Can Sang Ro Park Fahreddin Alīyev
+ PDF Chat	A difference inequality and its application to nonlinear evolution equations	1978	Mitsuhiro Nakao
+	Global nonexistence for a semilinear Petrovsky equation	2008	Wenying Chen Yong Zhou
+	On Global Solutions and Energy Decay for the Wave Equations of Kirchhoff Type with Nonlinear Damping Terms	1996	Tokio Matsuyama Ryo Ikehata
+	On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation	1997	Kosuke Ono
+	Estimate on the Dimension of Global Attractor for Nonlinear Dissipative Kirchhoff Equation	2008	Zaiyun Zhang Zhen-Hai Liu Xiu-jin Miao
+	The lifespan for 3D quasilinear wave equations with nonlinear damping terms	2011	Jun Zhou Chunlai Mu
+	Existence and nonexistence of global solutions of some system of semilinear wave equations	2003	Meng-Rong Li Long-Yi Tsai
+	Global Existence and Nonexistence in a System of Petrovsky	2002	Salim A. Messaoudi
+	Global Existence and Energy Decay of Solutions to a Petrovsky Equation with General Nonlinear Dissipation and Source Term	2006	Nour‐Eddine Amroun Abbès Benaissa
+ PDF Chat	EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A NONLINEAR WAVE EQUATION	2009	Shun-Tang Wu Long-Yi Tsai
+	Nonlinear Wave Equations	1990	Walter A. Strauss
+ PDF Chat	ON GLOBAL SOLUTIONS AND BLOW-UP OF SOLUTIONS FOR A NONLINEARLY DAMPED PETROVSKY SYSTEM	2009	Shun-Tang Wu Long-Yi Tsai
+	Blow-up of solutions for a system of nonlinear wave equations with nonlinear damping.	2009	Shun-Tang Wu