- Identification: IAA100190612 - Grant Agency of the Academy of Sciences of the Czech Republic
- Duration: 2006 - 2008
- Principal investigator: Prof. RNDr. Jiří Neustupa CSc. (Mathematical Institute ASCR)
- Co-investigator: Doc. RNDr. Zdeněk Skalák CSc.
- Co-investigator: RNDr. Petr Kučera CSc. (Faculty of Civil Engineering, Czech Technical
University)
Subject of research
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.
