Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
于慧敏 教授, 山东师范大学
Inviter:
Title:
Existence of weak solutions to one dimensional rotating shallow water system
Time & 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.