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	Well-Posedness of Hydrodynamics on the Moving Elastic Surface
	Wang, Wei ; Zhang, Pingwen ; Zhang, Zhifei
	2012
关键词	NAVIER-STOKES EQUATIONS FLUID MEMBRANES CURVATURE ELASTICITY DYNAMICS EULER
英文摘要	The dynamics of a membrane are that of a coupled system comprising a moving elastic surface and an incompressible membrane fluid. We will consider a reduced elastic surface model, which involves the evolution equations of the moving surface, the dynamic equations of the two-dimensional fluid, and the incompressible equation, all of which operate within a curved geometry. In this paper, we prove the local existence and uniqueness of the solution to the reduced elastic surface model by reformulating the model into a new system in the isothermal coordinates. One major difficulty is that of constructing an appropriate iterative scheme such that the limit system is consistent with the original system.; Mathematics, Interdisciplinary Applications; Mechanics; SCI(E); 1; ARTICLE; 3; 953-995; 206
语种	英语
出处	SCI
出版者	archive for rational mechanics and analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/229033]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Wei,Zhang, Pingwen,Zhang, Zhifei. Well-Posedness of Hydrodynamics on the Moving Elastic Surface. 2012-01-01.

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