Analysis and numerical solutions of Stokes-Darcy interface problems
Speaker:Prof. Yanzhao Cao
Professor
Auburn University
Date & Time:5 Jul 2013 (Friday) 11:00
Venue:J213
Organized by:Department of Mathematics

Abstract

In this talk, we will present the Stokes Darcy interface problem as a modeling tool matrix-conduit underground water systems. The partial differential equations together with the interface conditions governing the water system will be derived, followed by well-posedness analysis and numerical solutions through finite element method and domain decomposition method.

Biography

Prof. Yanzhou Cao is currently the Professor of Auburn University. Prof. Cao received his Ph.D. degree in Mathematics in Virginia Polytechnic Institute and State University. The publications of Prof. Cao include, A computational model of steady bio-convective flow with concentration dependent viscosity, On steady flow in a poroelastic porous medium, On the equation of quasi-static poroelasticity with dilatation dependent hydraulic conductivity: existence uniqueness, and finite element approximation, Parallel non-iterative multi-physics domain decomposition methods for the time-dependent Stokes-Darcy model, Experimental and computational validation and verification of the StokesDarcy and continuum pipe flow models for karst aquifers with dual porosity structure.