Some mathematical problems
		  related to the primitive equations
		     of the atmosphere and oceans

			     Roger Temam

			  Indiana University

     In this lecture we intend to first present the primitive equations 
of the atmosphere and the oceans and recall a few results on their 
mathematical formulation.
     These equations involve two small parameters, namely the ratio of 
the depth of the ocean (or the height of the atmosphere) to the radius of 
the earth and the Rossby number which compares the average velocity of 
the air (or the water) to the galilean velocity of the surface of the 
earth, resulting from its rotation.
     We will study a number of asymptotic problems related to these small 
parameters for the primitive and Navier-Stokes equations and for simpler 
models.