Syllabus
A brief survey of equations describing flow: Navier-Stokes equations for viscous incompressible flow.
Main theoretical results for the Stokes, Oseen and Navier-Stokes problems.
Finite element method for the solution of viscous incompressible flow: Babuska-Brezzi condition, conformal and nonconformal finite elements, existence and uniqueness of the solution to the Stokes problem, discretization of the stationary and nonstationary Navier-Stokes problem, stabilization of numerical methods.
The course is suitable for students of Numerical and Computational Mathematics and Mathematical Modelling in Physics and Technology.
Annotation
Brief survey of equations describing fluid flow, main theoretical results for the Stokes, Oseen and Navier-Stokes problems, finite element solution of viscous incompressible flow