University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > A back door to blow-up: Inviscid regularization for the 3D Euler and Navier-Stokes equations

A back door to blow-up: Inviscid regularization for the 3D Euler and Navier-Stokes 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?

The 3D Euler-Voigt equations can be thought of as a regularization of the 3D Euler equations in the sense that they are globally well-posed, and the solutions approximate the solutions to the 3D Euler equations.  We describe a blow-up criterion for the 3D incompressible Euler equations based on inviscid Voigt regularization.  Therefore, the blow-up criterion allows one to gain information about possible singularity formation in the 3D Euler equations indirectly; namely, by simulating the “better-behaved” 3D Euler-Voigt equations.  Analytical and computational results will be discussed.  We will also discuss a applications to Navier-Stokes and a recent Voigt-type regularization and blow-up criterion based on the Velocity-Vorticity formulation of the 3D Navier-Stokes equations.

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 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity