0930
Mathematical Aspects of Hydrodynamics
Workshop
0930Period
19 Jul - 25 Jul 2009Abstract
The workshop was devoted to discussions of recent developments and possible future directions of research in the field of mathematical hydrodynamics. Many of the leading experts in the theory of PDE’s arising in fluid dynamics participated in this event. The topics included:
Regularity, uniqueness and well-posedness problems for the NavierStokes equations
Stability of Navier-Stokes solutions
Open problems concerning the steady-state Navier-Stokes solutions
Statistical approach to 2d hydrodynamics
Inviscid limits of Navier-Stokes solutions
Anomalous weak solutions of Euler’s equation
Finding physically reasonable classes of weak solutions of Euler’s equations
Local well-posedness of Euler’s equations in optimal spaces
Stability of solutions of Euler’s equations
Water waves
Model equations
Geometric approach to hydromechanical equations
Selected compressible flow problems Mathematics