The Well-posedness Of Some Fluid Equations In Herz-type Spaces

In this paper,we discuss the well-posedness of some fluid equations in Herz-type spaces.The structure is as the following.Chapter 1 introduces the development trend of Herz-type space and the main result of several kinds of fluid equations that made by Chinese and foreign scholars of harmonic analysis.At the same time,we introduce the reason why we direct this topics and the significance and conclusion of this dissertation.Chapter 2 studies the well-posedness of the Euler equations in Herz-type-Triebel-Lizorkin space if the initial data u0?FKp,q,r?,s and ?·u0=0.Chapter 3 studies the local well-posedness of the ideal magnetohydrodynamics equations in Herz-type-Besov space if the initial data(u0,b0)? BKp,q,r ?,sand ?·u0? ?·b0=0.Chapter 4 studies the well-posedness of magnetohydrodynamics equations in Herz-type-Besov space.