University of Cambridge > > Isaac Newton Institute Seminar Series > How to extract a spectrum from hydrodynamic equations

How to extract a spectrum from hydrodynamic equations

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

TUR - Mathematical aspects of turbulence: where do we stand?

Practical results gained from statistical theories of turbulence usually appear in the form of an inertial-range power-law energy spectrum and a cut-off wave-number. To extract such spectral information from the three-dimensional Navier–Stokes equations, Doering and Gibbon (2002) introduced the idea of forming a set of dynamic wave-numbers Kn(t) from ratios of norms of solutions. The time averages of Kn(t) can be interpreted as the moments of the energy spectrum. Since the κn(t) are based on Navier–Stokes weak solutions, the mathematical bounds for Kn(t) connect empirical predictions of the energy spectrum with the analysis of the Navier–Stokes equations. This method is developed to show how it can be applied to many hydrodynamic models such as the two dimensional Navier–Stokes equations (in both the direct- and inverse-cascade regimes), the forced Burgers equation and shell models.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2022, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity