2023 Wilmington NC USA

Qualitative Properties and Numerical Approximations of PDE Systems which Govern Fluid Flows and Flow-Structure Interactions

 Organizer(s):
Name:
Affiliation:
Country:
George Avalos
University of Nebraska-Lincoln
USA
Pelin Guven Geredeli
Iowa State University
USA
 Abstract:  
  This Special Session will feature speakers who have wide-ranging research expertise in the continuous and numerical analysis of those partial differential equation (PDE) models which describe fluid or interactive fluid-structural dynamics. The analysis of such PDE models constitutes a broad area of research with applications in variety of real world problems. The main goal of this special session will be to convey recent results concerning the wellposedness, longtime behavior and numerical approximation for certain PDEs. In this regard, while some of this Special Session`s speakers will present their results on the qualitative properties of solutions, other speakers will focus on quantitative analysis for such PDE systems, including the formulation of efficient and robust numerical solvers for Navier Stokes, Navier Stokes-elasticity interactive PDE systems as well as the development of associated mixed variational formulations and their companion numerical schemes for these dynamical systems.