 96349 Duan, J. and Nee, J.
 Limit Set of Trajectories of the Coupled Viscous Burgers' Equations
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Jul 28, 96

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Abstract. In this letter, a coupled system of viscous Burgers'
equations with zero Dirichlet boundary conditions and appropriate
initial data is considered. For the wellknown single viscous Burgers'
equation with zero Dirichlet boundary conditions, the zero equilibrium
is the unique global exponential point attractor. A similar property
is shown for the coupled Burgers' equations, i.e., trajectories
starting with initial data which is not too large approach the zero
equilibrium as time goes to infinity. This ``approaching" or
convergence is not necessarily exponentially fast, unlike the single
viscous Burgers' equation.
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