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

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• Adam Larios (None / Other)
• Tuesday 22 February 2022, 16:00-17:00
• Seminar Room 2, Newton Institute.

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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.

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