余俊, 杨汉春. 二维标量守恒律一些新的黎曼解[J]. 云南大学学报(自然科学版), 2005, 27(1): 9-13,17.
引用本文: 余俊, 杨汉春. 二维标量守恒律一些新的黎曼解[J]. 云南大学学报(自然科学版), 2005, 27(1): 9-13,17.
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YU Jun, YANG Han-chun. Some new Riemann solutions for two-dimensional scalar conversation laws[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(1): 9-13,17.
Citation: YU Jun, YANG Han-chun. Some new Riemann solutions for two-dimensional scalar conversation laws[J]. Journal of Yunnan University: Natural Sciences Edition, 2005, 27(1): 9-13,17.
shu

二维标量守恒律一些新的黎曼解

Some new Riemann solutions for two-dimensional scalar conversation laws

    摘要
  • 摘要: 研究沿y方向非凸的标量守恒律的二维黎曼问题,初值是四片常数.应用广义特征分析方法,研究基本波及其相互作用,获得一些新的黎曼解的显式结构.

     

    Abstract: The two-dimensional Riemann problem for scalar conversation laws is discussed.Here scalar conversation laws is nonconvex along the y direction,when initial data are four pieces of constants in four quadrant of the (x,y)-plane.Using the generalized characteristic analysis method,some interesting new Riemann solutions are found.

     

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