#### Existence of weak solutions to one dimensional rotating shallow water system

Speaker：Professor Huimin Yu，Shandong Normal University

Time and Venue：2017.8.3 17:00-18:00 N613

Abstract：One dimensional rotating shallow water system plays an important role in studying geophysical fluid dynamics, such as in the study of geostrophic adjustment and zonal jets. Successfully rewrite the $3\times 3$system of balance laws into a $2\times 2$ Euler system with a nonlocal source term, we prove the existence of the weak solution by using viscosity vanish method and compensated compactness.