The project includes several topics: 1) Regularity of weak solutions to the Navier-Stokes equations. 2) Existence, stability and long time behaviour of solutions to compressible Navier-Stokes equations. 3) Interaction of fluids with rigid bodies. 4) Qualitative theory of higher-degree fluids. 5) Higher order schemes for compressible flows. 6) Adaptive methods of mesh refinement near discontinuities. 7) Extensions of finite volume - finite element methods from 2D to 3D problems.
Main investigators:
Participating institutions:
Institute of Mathematics AS CR
