Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics.

In this paper, we prove that for certain class of initial data, the corresponding solutions to the 3-D viscous primitive equations blow up in finite time. Specifically, we find a special solution to simplify the 3-D systems, assuming that the pressure function p (x , y , t) is a concave function. We also consider the equations on the line x = 0 , y = 0 . [ABSTRACT FROM AUTHOR]