The properties of solutions for the coupled 4th-order parabolic equations
type: Item
instance of: scholarly article
title: The properties of solutions for the coupled 4th-order parabolic equations
author: Bingchen Liu
author: Yang Li
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2024-12-13T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35K52
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 7958085
zbMATH Keywords: blow-up rate
zbMATH Keywords: blow-up time
zbMATH Keywords: coupled 4th-order parabolic equations
zbMATH Keywords: decay estimate
zbMATH Keywords: global existence
MaRDI profile type: Publication
cites work: Infinite time blow-up of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity modeling epitaxial growth
cites work: Classification of blow-up and global existence of solutions to an initial Neumann problem
cites work: A class of fourth-order parabolic equation with arbitrary initial energy
cites work: Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
cites work: A fourth-order parabolic equation modeling epitaxial thin film growth
cites work: Upper bound on the coarsening rate for an epitaxial growth model
cites work: Time‐weighted blow‐up rates and pointwise profile for single‐point blow‐up solutions in reaction–diffusion equations
cites work: Non-simultaneous blow-up profile and boundary layer estimate in nonlinear parabolic problems
cites work: A class of fourth-order nonlinear parabolic equations modeling the epitaxial growth of thin films
cites work: Asymptotic behavior for a fourth-order parabolic equation modeling thin film growth
cites work: Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system.
cites work: Solutions of fourth-order parabolic equation modeling thin film growth
cites work: Blow-up phenomena for a class of fourth order parabolic equation
cites work: Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
cites work: Some sharp results about the global existence and blowup of solutions to a class of coupled pseudo-parabolic equations
cites work: Global well-posedness of coupled parabolic systems
cites work: Fourth-order partial differential equations for noise removal
cites work: Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system
cites work: Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth
DOI: 10.36045/J.BBMS.240131
description: scientific article; zbMATH DE number 7958085