Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate

摘要

We will first prove the existence of(V,V)- and(V,H2)-absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of(V,H3)-absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of(V,V)- and(V,H2)-globalattractors for the three-dimensional viscous primitive equations of large-scale atmosphere inlog-pressure coordinate by using the Sobolev compactness embedding theory.