中文摘要：

本文研究具有常数边界数据影响的二维半线性松驰模型初边值问题解的大时间性态,利用L2-能量方法,通过对边界积分的处理,证明了在初始扰动小的条件下相应问题的解渐近收敛到一个强平面稀疏波.

英文摘要：

This paper is concerned with the large time behavior of solutions of the initial-boundary value problem for the two-dimensional semilinear relaxation model with constant boundary data effect. It is proved that the solution of this problem converges time-asymptotically to a strong planar rarefaction wave for small initial disturbance by using an L2-energy method and dealing with the boundary integral.