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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.

 Main investigator:

Neustupa Jiří, Skalák Zdeněk

 Participating institutions:

Institute of Mathematics, AS CR,
Czech Technical University in Prague, CTU Prague