Grant IAA100190612
1.1.2006 - 31.12.2008
Grantor: Grant Agency of Czech Academy of Sciences
Regularity and other qualitative properties of solutions to the Navier-Stokes and related equations, transition to turbulence
Following our previous results, we will study regularity and related qualitative properties of solutions to the Navier-Stokes equations and other equations which express conservation of momentum in an incompressible fluid. We wish to focus especially on these questions: regularity of a weak solution and validity of the generalized energy inequality up to the boundary at various boundary conditions, the choice of initial conditions leading to a global strong solution, geometry of vorticity in the transition region between laminar and turbulent flows. In comparison with usual Dirichlet-type boundary conditions, we will pay more attention to conditions involving especially the rotation of velocity.
Participating institutions:
Institute of Mathematics AS CR
Czech Technical University in Prague
EN
