![Loading Events](https://math.sciences.ncsu.edu/wp-content/plugins/the-events-calendar/src/resources/images/tribe-loading.gif)
- This event has passed.
Ivan Yotov, University of Pittsburgh, A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media
March 9, 2022 | 3:00 pm - 4:00 pm EST
A nonlinear model is developed for fluid-poroelastic structure interaction with quasi-Newtonian fluids that exhibit a shear-thinning property. The flow in the fluid region is described by the Stokes equations and in the poroelastic medium by the quasi-static Biot model. Equilibrium and kinematic conditions are imposed on the interface. A mixed Darcy formulation is employed, resulting in continuity of flux condition of essential type, which is weakly enforced through a Lagrange multiplier. We establish existence and uniqueness of the solution of the weak formulation using non-Hilbert spaces. A stability and error analysis is performed for the semi-discrete continuous-in-time and the fully discrete formulations. Applications to hydraulic fracturing and arterial flows are presented.
Zoom link: https://ncsu.zoom.us/j/8027642791?pwd=d1lNaWZyUW4zeUFvaTA5VmlsTWtjdz09