Asymptotic Behaviors Of Solutions Of An Initial-boundary Value Problem For The Generalized BBM-Burgers Equation With Non-convexity

This thesis is concerned with the asymptotic behaviors of solutions of an initial-boundary value problem for the generalized BBM-Burgers equation with non-convex flux.Under the condition of small perturbation for the initial data,using an L~2 weighted energy method proves that the global solutions of corresponding initial -boundary value problem exist and converge time-asymptotically to a stationary wave or a rarefaction wave or the superposition of these two kinds of wave for the generalized BBM-Burgers equation with constant boundary data.