PDE seminar: A conservative scheme for solving coupled surface-bulk convection-diffusion equations and its applications

2012-12-14 15:00 - 2012-12-14 16:00
Faculty of Science Building #3, Room 205
Ming-Chih Lai (Department of Applied Mathematics, National Chiao Tung University, Taiwan)
Many physical problems arising in biological or material
sciences involve solving partial differential equations in
deformable interfaces or complex domains. For instance,
the surfactant (an amphiphilic molecular) which usually
favors the presence in the fluid interface may couple with
the surfactant soluble in one of bulk domains through adsorption
and desorption processes. Thus, it is important to
accurately solve coupled surface-bulk convection-diffusion
equations especially when the interface is moving. In this
talk, we present a new conservative scheme for solving
this coupled surface-bulk concentration equations which
the total surfactant mass is conserved in discrete sense.
As an application, we extend our previous work to the
interfacial flows with soluble surfactant.