Speaker: Quyuan Lin, Assistant Professor, School of Mathematical and Statistical Sciences, Clemson University

Title: Singularity formation of the inviscid primitive equations

Abstract: The inviscid primitive equations, also known as the hydrostatic Euler equations, describe the motion of inviscid fluid flow in a thin domain, such as the ocean and atmosphere on a planetary scale. Unlike the viscous primitive equations whose solutions exist for all time, certain solutions to the inviscid model blow up in finite time. In this talk, I will first give a short introduction to the primitive equations and revisit some earlier results on the singularity formation for the inviscid model. Then I will discuss the effect of rotation on these blowups. Finally, I will talk about some recent progress toward the stability of the singularity formation.

Date and time: 3:45-4:45pm, Thursday, Feb 22, 2024, DM 409A

Format: in-person DM 409A + Zoom

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https://fiu.zoom.us/j/7899782410?pwd=UU5NSnptektYdXhmV3YxQk1ObEJqZz09&omn=84202140945

Meeting ID: 789 978 2410

Passcode: FIU2024