Mathematical Analysis for Partial Differential Equations, in particular for equations of mechanics and thermodynamics of incompressible and compressible fluids

• incompressible Navier-Stokes equations: regularity problem for weak solutions (3D problem, axisymmetric problem)
• asymptotic behaviour of solutions to steady problems for different fluid models
• compressible Navier-Stokes and Navier-Stokes-Fourier system in the evolutionary and steady regime
• steady and evolutionary solutions for models of mixtures