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	Well-posedness of the Hele-Shaw-Cahn-Hilliard system
	Wang, Xiaoming ; Zhang, Zhifei
	2013
关键词	Hele-Shaw-Cahn-Hilliard Well-posedness Blow-up criterion FLOW EQUATIONS EXISTENCE MODELS LIQUID FLUID CELL
英文摘要	We study the well-posedness of the Hele-Shaw-Cahn-Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched density between the components. For initial data in H-s, s > d/2 + 1, the existence and uniqueness of solution in C([0, T]; H-s) boolean AND L-2(0, T; Hs+2) that is global in time in the two dimensional case (d = 2) and local in time in the three dimensional case (d = 3) are established. Several blow-up criterions in the three dimensional case are provided as well. One of the tools that we utilized is the Littlewood-Paley theory in order to establish certain key commutator estimates. (C) 2012 Elsevier Masson SAS. All rights reserved.; Mathematics, Applied; SCI(E); EI; 4; ARTICLE; 3; 367-384; 30
语种	英语
出处	SCI ; EI
出版者	annales de l institut henri poincare analyse non lineaire
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/224072]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Xiaoming,Zhang, Zhifei. Well-posedness of the Hele-Shaw-Cahn-Hilliard system. 2013-01-01.

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