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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας:	Yuxuan Chen
Μορφή:	Άρθρο
Γλώσσα:	English
Έκδοση:	AIMS Press 2023-10-01
Σειρά:	Communications in Analysis and Mechanics
Θέματα:	global existence finite time blow up ground state solution degenerate parabolic equation
Διαθέσιμο Online:	https://www.aimspress.com/article/doi/10.3934/cam.2023033?viewType=HTML

Παρόμοια τεκμήρια

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

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
ανά: Xu Si, κ.ά.
Έκδοση: (2011-01-01)

Global existence and blow up for a class of pseudo-parabolic equations with logarithmic nonlinearity
ανά: Fugeng Zeng, κ.ά.
Έκδοση: (2022-08-01)

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

A class of fourth-order parabolic equation with logarithmic nonlinearity
ανά: Pingping Li, κ.ά.
Έκδοση: (2018-11-01)

Blow-up for a degenerate and singular parabolic equation with a nonlocal source
ανά: Nitithorn Sukwong, κ.ά.
Έκδοση: (2019-07-01)

Blow-up analysis for a doubly nonlinear parabolic system with multi-coupled nonlinearities
ανά: Jian Wang, κ.ά.
Έκδοση: (2012-01-01)

On the numerical solutions for a parabolic system with blow-up
ανά: Chien-Hong Cho, κ.ά.
Έκδοση: (2021-08-01)

Global existence and blow up of solutions for a class of coupled parabolic systems with logarithmic nonlinearity
ανά: Qigang Deng, κ.ά.
Έκδοση: (2022-06-01)

Blow-up of solutions to singular parabolic equations with nonlinear sources
ανά: Nguyen Tuan Duy, κ.ά.
Έκδοση: (2018-02-01)

Blow-up time of solutions to a class of pseudo-parabolic equations
ανά: Zhou, Jun, κ.ά.
Έκδοση: (2023-05-01)

Upper and lower bounds for the blow-up time of a fourth-order parabolic equation with exponential nonlinearity
ανά: Shuting Chang, κ.ά.
Έκδοση: (2024-11-01)

On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations
ανά: Helge Holden, κ.ά.
Έκδοση: (2003-04-01)

The critical exponents for a semilinear fractional pseudo-parabolic equation with nonlinear memory in a bounded domain
ανά: Yaning Li, κ.ά.
Έκδοση: (2023-03-01)

Weak solutions for quasilinear degenerate parabolic systems
ανά: Zheng'an Yao, κ.ά.
Έκδοση: (2006-07-01)

Blow-up and global existence profile of a class of fully nonlinear degenerate parabolic equations
ανά: Li Jing, κ.ά.
Έκδοση: (2011-12-01)

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

Blow-Up Time of Solutions for a Parabolic Equation with Exponential Nonlinearity
ανά: Yanjin Wang, κ.ά.
Έκδοση: (2022-08-01)

Blow-up for p-Laplacian parabolic equations
ανά: Yuxiang Li, κ.ά.
Έκδοση: (2003-02-01)

Nonlinear parabolic equations with blowing-up coefficients with respect to the unknown and with soft measure data
ανά: Khaled Zaki, κ.ά.
Έκδοση: (2016-12-01)

Global existence and blow-up of solutions for parabolic systems with nonlinear nonlocal boundary conditions
ανά: Zhou Sen, κ.ά.
Έκδοση: (2013-10-01)

From critical exponents to blow-up rates for parabolic problems
ανά: Miroslav Chlebík, κ.ά.
Έκδοση: (1999-01-01)

Blow-up and global existence of solutions for time-space fractional pseudo-parabolic equation
ανά: Yaning Li, κ.ά.
Έκδοση: (2023-05-01)

Blow-up and non-extinction for a nonlocal parabolic equation with logarithmic nonlinearity
ανά: Lijun Yan, κ.ά.
Έκδοση: (2018-08-01)

Decay estimate and blow-up for a fourth order parabolic equation modeling epitaxial thin film growth
ανά: Hao Zhang, κ.ά.
Έκδοση: (2023-03-01)

Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions
ανά: Soon-Yeong Chung, κ.ά.
Έκδοση: (2022-06-01)

Existence of Viscosity Solutions for Weakly Coupled Cooperative Parabolic Systems with Fully Nonlinear Principle Part
ανά: Georgi Boyadzhiev, κ.ά.
Έκδοση: (2024-07-01)

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

Global existence and finite time blow-up for a class of fractional p-Laplacian Kirchhoff type equations with logarithmic nonlinearity
ανά: Fugeng Zeng, κ.ά.
Έκδοση: (2021-01-01)

Existence and non-existence of global solutions for a semilinear heat equation on a general domain
ανά: Miguel Loayza, κ.ά.
Έκδοση: (2014-07-01)

Blow-up analysis in a quasilinear parabolic system coupled via nonlinear boundary flux
ανά: Pan Zheng, κ.ά.
Έκδοση: (2021-02-01)

Blowup of solutions to degenerate Kirchhoff-type diffusion problems involving the fractional p-Laplacian
ανά: Yanbing Yang, κ.ά.
Έκδοση: (2018-08-01)

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

p-biharmonic parabolic equations with logarithmic nonlinearity
ανά: Jiaojiao Wang, κ.ά.
Έκδοση: (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
ανά: Nian Liu
Έκδοση: (2024-09-01)

Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms
ανά: Pişkin Erhan, κ.ά.
Έκδοση: (2020-01-01)

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

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

Blow-up phenomena and lifespan for a quasi-linear pseudo-parabolic equation at arbitrary initial energy level
ανά: Gongwei Liu, κ.ά.
Έκδοση: (2018-10-01)

On the behaviors of solutions of a nonlinear diffusion system with a source and nonlinear boundary conditions
ανά: M.M. Aripov, κ.ά.
Έκδοση: (2024-03-01)