摘要
We investigate the singular structure for n dimensional non-selfsimilar global solutions and interaction of non-selfsimilar elementary wave of n dimensional Burgers equation, where the initial discontinuity is a n dimensional smooth surface and initial data just contain two different constant states, global solutions and some new phenomena are discovered. An elegant technique is proposed to construct n dimensional shock wave without dimensional reduction or coordinate transformation.
We investigate the singular structure for n dimensional non-selfsimilar global solutions and interaction of non-selfsimilar elementary wave of n dimensional Burgers equation, where the initial discontinuity is a n dimensional smooth surface and initial data just contain two different constant states, global solutions and some new phenomena are discovered. An elegant technique is proposed to construct n dimensional shock wave without dimensional reduction or coordinate transformation.
基金
Supported by the National Natural Science Foundation （10001023）, Huo Ying-dong Fellowship （81004）, Scientific Research Foundation for the Returned 0verseas Chinese Scholars, State Education Ministry, The China Scholarship Council, Natural Science Foundation of Guangdong （000804） and Natural Science Foundation of Guangdong Education Bureau （200030）
