Navier-Stokes equations interacting with a nonlinear elastic biofluid shell

C. H.Arthur Cheng, Daniel Coutand, Steve Shkoller

研究成果: 雜誌貢獻期刊論文同行評審

38 引文 斯高帕斯(Scopus)

摘要

We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic fluid shell. The fluid motion is governed by the Navier - Stokes equations, while the fluid shell is modeled by a bending energy which extremizes the Willmore functional and a membrane energy with density given by a convex function of the local area ratio. The fluid flow and shell deformation are coupled together by continuity of displacements and tractions (stresses) along the moving surface defining the shell. We prove the existence and uniqueness of solutions in Sobolev spaces for a short time.

原文???core.languages.en_GB???
頁(從 - 到)742-800
頁數59
期刊SIAM Journal on Mathematical Analysis
39
發行號3
DOIs
出版狀態已出版 - 2007

指紋

深入研究「Navier-Stokes equations interacting with a nonlinear elastic biofluid shell」主題。共同形成了獨特的指紋。

引用此