On the well-posedness and decay characterization of solutions for incompressible electron inertial Hall-MHD equations

 14 July 2020
 Mathematics - Research News

Xiaopeng Zhao. Source: Advances in Differential Equations, Volume 25, Number 7/8, 373--422.Abstract:
In this paper, by using the properties of decay character and the Fourier splitting method, we establish the time decay rates of solutions for three-dimensional incompressible electron inertial Hall-MHD equations. In particular, the optimal decay rates of the mixed space-time derivatives of the solution are obtained.