Vanishing viscosity limit of the rotating shallow water equations with far field vacuum
Vanishing viscosity limit of the rotating shallow water equations with far field vacuum
In this paper, we consider the Cauchy problem of the rotating shallow water equations, which has height-dependent viscosities, arbitrarily large initial data and far field vacuum. Firstly, we establish the existence of the unique local regular solution, whose life span is uniformly positive as the viscosity coefficients vanish. Secondly, we …