THE INTERACTION OF THE 3D NAVIER-STOKES EQUATIONS WITH A MOVING NONLINEAR KOITER ELASTIC SHELL

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51155

Title:	THE INTERACTION OF THE 3D NAVIER-STOKES EQUATIONS WITH A MOVING NONLINEAR KOITER ELASTIC SHELL
Authors:	Cheng,CHA;Shkoller,S
Contributors:	數學系
Date:	2010
Issue Date:	2012-03-27 18:23:29 (UTC+8)
Publisher:	國立中央大學
Abstract:	We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell. The fluid motion is governed by the Navier-Stokes equations, while the shell is modeled by the nonlinear Koiter shell model, consisting of bending and membrane tractions as well as inertia. The fluid is coupled to the solid shell through continuity of displacements and tractions (stresses) along the moving material interface. We prove existence and uniqueness of solutions in Sobolev spaces.
Relation:	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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