STATIONARY AND QUASI-STATIONARY SHOCK-WAVES FOR NON-SPATIALLY HOMOGENEOUS BURGER EQUATION IN THE LIMIT OF SMALL DISSIPATION .1.

The Burger's equation with a small dissipation and a given drift is considered on an interval. In the limit of small dissipation, this equation admits a train of stationary shock waves whose position and strength is determined by the structure of the drift term. The distribution of these shock waves on the interval is studied using an appropriate variational formulation of the problem.