Degradation Equations Of Viscous Conservation Laws Convergence Estimates

The author discusses the convergence estimate of entropy solution of the scalar degenerated viscous conservation law.In this paper,we use the same method as using in Kuznetsov N.N.'s paper,and discuss the non-degenerative case. We prove that the solution of initial value problem of the scalar degener-ated viscous conservation law converges to that of the corresponding problem of non-degenerative case,ut+f(u)x=0, when‖ε‖C0â†'0.Moreover,we give a convergence estimate.