Seminar| Institute of Mathematical Sciences
Time:Tuesday, July 30th, 2025,15:30-16:30
Location:IMS, RS408
Speaker: Fan Zheng, ICMAT
Abstract: The question of singularity formation in fluid dynamics remains one of the most challenging open problems in mathematical physics. In this talk, we present new results showing that solutions to 3D hypodissipative Navier-Stokes equations with smooth initial data and an external forcing that is integrable in C^{1+ϵ} can break down in finite time. The dissipation in the equation amounts to 0.1 orders of derivative, or (−∆)^{0.046}. Time permitting, I will discuss extensions that allow for more dissipation and rougher forcing.
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