The shock wave, rarefaction wave and their global structure of interactions to 2-D Burgers equation with initial discontinuity were obtained based on two concentric circles with different radii. When the initial data just contained two different constant states, through condition H( H') and condition R-H, solutions were given respectively when 0≤t≤ 22/u+ -u-, 22/u+ -u- < t ≤ 4/u+ -u-, 4/u+ -u- < t ≤ 8/u+ -u-, 8/u+ -u- < t ≤ 2/( 26-72- 10-72)/u+-u- , 2( 26-72- 10-72)/ u+ -u-62+8/u+ -u- and some new phenomena were discovered. Finally, the structure of global solution which had the special structure for any fixed time "t" was presented.%得到了一类具有2个不同半径的同心圆周线初始间断的二维Burgers方程的激波与疏散波及其相互作用的整体结构.在初始值是2个不同的常数状态假设下,利用H(H')条件及R-H条件,分别构造出当0≤t≤22/u+-u-,22/u+-u-62+8/u+-u-时的解,并发现一些新的现象.最后给出整体解的结构,当时间"t"固定时,解具有特殊的形状.
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