Global classical solutions to equatorial shallow-water equations

Abstract

In this article, we study the equatorial shallow-water equations with slip boundary condition in bounded domain. By exploring the dissipative structures of the system, we obtaining a priori estimates of the solution for small initial data. Then the existence of classical global solutions and exponential stability results are given. For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/62/abstr.html