Abstract
The purpose of present paper is to establish the regularity criteria for non-linear problem of unsteady flow of third grade fluid in a rotating frame. The fluid is between two plates and the lower plate is porous. The main result of this paper is to establish the global regularity of classical solutions when parallel to F parallel to(2)(BMO) , parallel to g parallel to(2)(BMO), parallel to partial derivative g/partial derivative y parallel to(2)(BMO) and parallel to partial derivative(2)g/partial derivative y(2)parallel to(2)(BMO) are sufficiently small. In addition uniqueness of weak solution is also verified. Here BMO denotes the homogeneous space of bounded mean oscillations, F is the velocity and g = del x F = partial derivative F/partial derivative z is the vorticity of the rotating fluid.