2024/12/28 by Yuanzhen Shao, Shao, Yuanzhen, Gieri Simonett +3
Engineering · #Fluid Dynamics Simulations and Interactions
paper · pdf · doi:10.48550/arxiv.2412.20187
We consider the motion of an incompressible viscous fluid on a sphere, incorporating the effects of the Coriolis force. We demonstrate that global solutions exist for any divergence-free initial condition with finite kinetic energy. Furthermore, we show that each solution converges at an exponential rate to a state that is aligned with the rotation of the sphere.