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Small scale creation in active scalars

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TURW02 - Rigorous analysis of incompressible fluid models and turbulence

Active scalars appear in many situations in fluid mechanics, with the most classical example being 2D Euler equation in vorticity form. Other prominent examples are the surface quasi-geostrophic (SQG) equation that comes from atmospheric science and the incompressible porous media (IPM) equation modeling the fluid flow in porous media. In this talk, I will discuss rigorous examples of small scale formation that involves infinite in time growth of derivatives for the solutions of the SQG equation and the 2D IPM equation.

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

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