For Riemann problem in n(n ≥ 3) dimensional(n-D) conservation laws, dimension of equations can be only reduced one dimension by applying self-similar approach, so transformed equations are at least two dimensional (2...For Riemann problem in n(n ≥ 3) dimensional(n-D) conservation laws, dimension of equations can be only reduced one dimension by applying self-similar approach, so transformed equations are at least two dimensional (2D) equations which are also very hard although some pioneer works have been done in references [1-3].展开更多
基金Supported by the National Natural Science Foundation of China(No. 10001023), Huo Yingdong Fellowship(81004), Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry, Natural Science Foundation of Guangdong(No. 000804) and Natural Science Foundation of Guangdong Education Bureau(No. 200030).
文摘For Riemann problem in n(n ≥ 3) dimensional(n-D) conservation laws, dimension of equations can be only reduced one dimension by applying self-similar approach, so transformed equations are at least two dimensional (2D) equations which are also very hard although some pioneer works have been done in references [1-3].