报告人：李扬

时 间：2026年10月25日 9:00

地 点：L1228

报告摘要：In this talk, we focus on several applications of dispersive effects in decay estimates of fluid dynamics. First, we consider the decay estimates of global solutions to 3D anisotropic Boussinesq equations with only horizontal dissipation. Apart from the expected 2D heat decay, we reveal the additional dispersive decay rates due to the hydrostatic equilibrium. We also reveal the enhanced dissipation of the third component of velocity field, essentially due to the divergence-free condition. Second, we consider the decay estimates of global solutions to 3D rotating Navier-Stokes equations. By developing delicate estimate for the oscillatory integral resulting from the Coriolis force, we prove the sharp decay estimate of velocity field from above and below.