Global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate (Q370191)

Summary: We first prove the existence of \((V, V)\)- and \((V, H^2)\)-absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of \((V, H^3)\)-absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of \((V, V)\)- and \((V, H^2)\)-global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate by using the Sobolev compactness embedding theory.