- Series
- PDE Seminar
- Time
- Tuesday, February 4, 2025 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Quyuan Lin – Clemson University – quyuanl@clemson.edu – https://sites.google.com/view/quyuanlin
- Organizer
- Gong Chen
The hydrostatic Euler equations, also known as the inviscid primitive equations, are derived from the Euler equations by taking the hydrostatic limit. They are commonly used when the aspect ratio of the domain is small, such as the ocean and atmosphere in the planetary scale. In this talk, I will first present the stability of finite-time blowup of smooth solutions to this model, then discuss the effect of fast rotation (from Coriolis force) in prolonging the lifespan of solutions. Finally, I will talk about the regularization effects that arise when the model is driven by certain random noise.