Mathematics – Analysis of PDEs
Scientific paper
2009-12-22
Mathematics
Analysis of PDEs
20 pages; accepted for publication
Scientific paper
We consider a mathematical model for the interactions of an elastic body fully immersed in a viscous, incompressible fluid. The corresponding composite PDE system comprises a linearized Navier-Stokes system and a dynamic system of elasticity; the coupling takes place on the interface between the two regions occupied by the fluid and the solid, respectively. We specifically study the regularity of boundary traces (on the interface) for the fluid velocity field. The obtained trace regularity theory for the fluid component of the system -- of interest in its own right -- establishes, in addition, solvability of the associated optimal (quadratic) control problems on a finite time interval, along with well-posedness of the corresponding operator Differential Riccati equations. These results complement the recent advances in the PDE analysis and control of the Stokes-Lam\'e system.
Bucci Francesca
Lasiecka Irena
No associations
LandOfFree
Regularity of boundary traces for a fluid-solid interaction model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Regularity of boundary traces for a fluid-solid interaction model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity of boundary traces for a fluid-solid interaction model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-306758