Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

Global dynamical behavior of solutions for finite degenerate fourth-order parabolic equations with mean curvature nonlinearity

In this work, the initial-boundary value problem for the global dynamical properties of solutions to a class of finite degenerate fourth-order parabolic equations with mean curvature nonlinearity is studied. With the help of the Nehari flow and Levine's concavity method, we establish some sharp...

Bibliografske podrobnosti
Glavni avtor:	Yuxuan Chen
Format:	Article
Jezik:	English
Izdano:	AIMS Press 2023-10-01
Serija:	Communications in Analysis and Mechanics
Teme:	global existence finite time blow up ground state solution degenerate parabolic equation
Online dostop:	https://www.aimspress.com/article/doi/10.3934/cam.2023033?viewType=HTML

Podobne knjige/članki

Blow-up for degenerate nonlinear parabolic problem
od: W. Y. Chan
Izdano: (2019-09-01)

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
od: Xu Si, et al.
Izdano: (2011-01-01)

Global existence and blow up for a class of pseudo-parabolic equations with logarithmic nonlinearity
od: Fugeng Zeng, et al.
Izdano: (2022-08-01)

Existence and blow-up of solutions for finitely degenerate semilinear parabolic equations with singular potentials
od: Huiyang Xu
Izdano: (2023-05-01)

A class of fourth-order parabolic equation with logarithmic nonlinearity
od: Pingping Li, et al.
Izdano: (2018-11-01)

Blow-up for a degenerate and singular parabolic equation with a nonlocal source
od: Nitithorn Sukwong, et al.
Izdano: (2019-07-01)

Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities
od: Jian Wang, et al.
Izdano: (2012-01-01)

On the numerical solutions for a parabolic system with blow-up
od: Chien-Hong Cho, et al.
Izdano: (2021-08-01)

Global existence and blow up of solutions for a class of coupled parabolic systems with logarithmic nonlinearity
od: Qigang Deng, et al.
Izdano: (2022-06-01)

Blow-up of solutions to singular parabolic equations with nonlinear sources
od: Nguyen Tuan Duy, et al.
Izdano: (2018-02-01)

Blow-up time of solutions to a class of pseudo-parabolic equations
od: Zhou, Jun, et al.
Izdano: (2023-05-01)

Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity
od: Shuting Chang, et al.
Izdano: (2024-11-01)

On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
od: Helge Holden, et al.
Izdano: (2003-04-01)

The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain
od: Yaning Li, et al.
Izdano: (2023-03-01)

Weak solutions for quasilinear degenerate parabolic systems
od: Zheng'an Yao, et al.
Izdano: (2006-07-01)

Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations
od: Li Jing, et al.
Izdano: (2011-12-01)

Global Non-Existence of a Coupled Parabolic–Hyperbolic System of Thermoelastic Type with History
od: Jorge A. Esquivel-Avila
Izdano: (2023-12-01)

Blow-Up Time of Solutions for a Parabolic Equation with Exponential Nonlinearity
od: Yanjin Wang, et al.
Izdano: (2022-08-01)

Blow-up for p-Laplacian parabolic equations
od: Yuxiang Li, et al.
Izdano: (2003-02-01)

Nonlinear parabolic equations with blowing-up coefficients with respect to the unknown and with soft measure data
od: Khaled Zaki, et al.
Izdano: (2016-12-01)

Global existence and blow-up of solutions for parabolic systems with nonlinear nonlocal boundary conditions
od: Zhou Sen, et al.
Izdano: (2013-10-01)

From critical exponents to blow-up rates for parabolic problems
od: Miroslav Chlebík, et al.
Izdano: (1999-01-01)

Blow-up and global existence of solutions for time-space fractional pseudo-parabolic equation
od: Yaning Li, et al.
Izdano: (2023-05-01)

Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity
od: Lijun Yan, et al.
Izdano: (2018-08-01)

Decay estimate and blow-up for a fourth order parabolic equation modeling epitaxial thin film growth
od: Hao Zhang, et al.
Izdano: (2023-03-01)

Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions
od: Soon-Yeong Chung, et al.
Izdano: (2022-06-01)

Existence of Viscosity Solutions for Weakly Coupled Cooperative Parabolic Systems with Fully Nonlinear Principle Part
od: Georgi Boyadzhiev, et al.
Izdano: (2024-07-01)

Blow-up rate for parabolic problems with nonlocal source and boundary flux
od: Arnaud Rougirel
Izdano: (2003-09-01)

Global existence and finite time blow-up for a class of fractional p-Laplacian Kirchhoff type equations with logarithmic nonlinearity
od: Fugeng Zeng, et al.
Izdano: (2021-01-01)

Existence and non-existence of global solutions for a semilinear heat equation on a general domain
od: Miguel Loayza, et al.
Izdano: (2014-07-01)

Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux
od: Pan Zheng, et al.
Izdano: (2021-02-01)

Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian
od: Yanbing Yang, et al.
Izdano: (2018-08-01)

Asymptotic behavior for cross coupled parabolic equations
od: Yingzhen XUE
Izdano: (2017-04-01)

p-biharmonic parabolic equations with logarithmic nonlinearity
od: Jiaojiao Wang, et al.
Izdano: (2019-01-01)

The Asymptotic Behavior and Blow-Up Rate of a Solution with a Lower Bound on the Highest Existence Duration for Semi-Linear Pseudo-Parabolic Equations
od: Nian Liu
Izdano: (2024-09-01)

Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms
od: Pişkin Erhan, et al.
Izdano: (2020-01-01)

Blow-up analysis for parabolic p-Laplacian equations with a gradient source term
od: Juntang Ding
Izdano: (2020-09-01)

Life span of solutions with large initial data for a semilinear parabolic system coupling exponential reaction terms
od: Sen Zhou
Izdano: (2019-10-01)

Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level
od: Gongwei Liu, et al.
Izdano: (2018-10-01)

On the behaviors of solutions of a nonlinear diffusion system with a source and nonlinear boundary conditions
od: M.M. Aripov, et al.
Izdano: (2024-03-01)