Asymptotic Behaviors Of Solutions For The Initial-Boundary Value Problem Of Scalar Viscous Conservation Law With Non-convexity

This thesis is concered with the asymptotic behaviors of solutions of the initial-boundary value problem for scalar viscous conservation laws with non-convexity.Under the condition of small perturbation for the initial data,using L~2 weighted energy method proves that the global solutions of corresponding general initial-boundary value problem exsit and converge time-asympotically to the linear superposition of the stationary wave and the rarefaction wave for scalar viscous conservation law with one-side boundary effect.