Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 32: Fluid Dynamics

DY 32.8: Talk

Friday, March 26, 2010, 12:00–12:15, H47

Global Solutions and Dynamics for a modified Navier-Stokes Equation — •Tobias Grafke and Rainer Grauer — Theoretische Physik I, Ruhr-Universität Bochum

One of the outstanding open problems in classical fluid dynamics is the possible existence of finite time singularities in the incompressible Navier-Stokes or Euler equations. To get further insight into the difficulties of the problem, a hydrodynamical model closely related to the Navier-Stokes equation but with a slightly modified pressure term will be presented. Existence, uniqueness and regularity of its solutions are shown. In addition to these findings numerical simulations of its turbulent behaviour were performed to confirm that this new model has dynamic properties lying inbetween Navier-Stokes and Burgers turbulence and can be described with a She-Leveque like model.