Large Time Behaviors For Solutions Of The Initial-boundary Value Problem Of 2×2 Nonlinear Hyperbolic System Of Conservation Laws With Relaxation

The large time behaviors of solutions are studied to the initial-boundary problems of 2×2 nonlinear hyperbolic system of conservation laws with relaxation in this thesis.Under the condition of large initial disturbance, using an L~2 energy method proves that the solutions of the initial-boundary value problem to this relaxation model with one-side boundary effect converges time-asymptotically to a strong rarefaction wave or a weak stationary wave.For the initial-boundary value problem to this relaxation model with two-side boundary effect, it is proved that the solution of the initial-boundary value problem tends to the corresponding stationary wave solution for large initial disturbance by the similar method.