Some moving boundary value problems consisting of viscous incompressible fluids moving and interacting with nonlinear elastic shells
Seminar Room 2, Newton Institute Gatehouse
In this talk, I will briefly talk about my past works on the interaction of incompressible Navier-Stokes with either the biofluid shells or the Koiter shells. The biofluid shells can be used to model the cell membranes, while the Koiter shells are used to model general elastic thin shells that have equilibrium state. The dynamics of both kinds of shells are described by nonlinear PDEs derived from energy functionals depending on geometric structures of the shells. The well-posedness of the problems concerning the coupling of the fluids and the shells are non-trivial, and we established the existence and uniqueness of solutions in Sobolev spaces.
This talk has not been recorded due to technical difficulties.