Navier-Stokes equations interacting with a nonlinear elastic solid shell

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

Navier-Stokes equations interacting with a nonlinear elastic solid shell

Authors

Cheng, C. H. Arthur

Coutand, Daniel

Shkoller, Steve

Description

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 both bending and membrane tractions. 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.
28 pages