演講者:鄭經斅博士
單 位:Department of Mathematics, University of Maryland
日 期:2008年12月17日 PM 14:30
地 點:國立高雄大學理學院408室
講 題:Viscous fluids interacting with nonlinear Koiter's shell
摘 要:
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.