Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements

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	Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements
	Jiang, Jie
刊名	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
	2012-12-01
卷号	142 期号:6 页码:1279-1307
英文摘要	This paper studies the long-time behaviour of solutions to a one-dimensional strongly nonlinear partial differential equation system arising from phase transitions with microscopic movements. Our system features a strongly nonlinear internal energy balance equation. Uniform bounds of the global solutions and the compactness of the orbit are obtained for the first time using a lemma established recently by Jiang. The existence of global attractors and convergence of global solutions to a single steady state as time goes to infinity are also proved.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	CAHN-HILLIARD EQUATIONS ; FULL MODEL ; GLOBAL EXISTENCE ; THERMOVISCOELASTIC MATERIALS ; ASYMPTOTIC-BEHAVIOR ; BOUNDARY-CONDITIONS ; MICROSCOPIC MOVEMENTS ; MAXIMAL ATTRACTOR ; WELL-POSEDNESS ; SYSTEM
收录类别	SCI
语种	英语
WOS记录号	WOS:000314506200007
公开日期	2015-07-14
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1635]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Hubei Province, Peoples R China
推荐引用方式 GB/T 7714	Jiang, Jie. Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,2012,142(6):1279-1307.
APA	Jiang, Jie.(2012).Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,142(6),1279-1307.
MLA	Jiang, Jie."Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements".PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS 142.6(2012):1279-1307.