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Adam Larios (None / Other)
Tuesday 22 February 2022, 16:00-17:00
A back door to blow-up: Inviscid regularization for the 3D Euler and Navier-Stokes equations
- đ¤ Speaker: Adam Larios (None / Other)
- đ Date & Time: Tuesday 22 February 2022, 16:00 - 17:00
- đ Venue: Seminar Room 2, Newton Institute
Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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