An asymptotic expansion for the solution of the generalized Riemann problem Part I: General theory
An asymptotic expansion for the solution of the generalized Riemann problem Part I: General theory
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DOI：
10.1016/s0294-1449(16)30350-x
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发表时间：
1988-03
影响因子：
1.9
通讯作者：
P. Floch;P. Raviart
中科院分区：
文献类型：
--
作者：
P. Floch;P. Raviart
考虑具有守恒律的非线性双曲型系统的广义黎曼问题。本文给出了该问题的熵解在时间上的渐近展开式，并给出了构造该渐近展开式的显式方法。最后，给出了广义黎曼问题的近似解，并给出了误差范围。
We consider the generalized Riemann problem for nonlinear hyperbolic systems of conservation laws. We show in this paper that we can find the entropy solution of this problem in the form of an asymptotic expansion in time and we give an explicit method of construction of this asymptotic expansion. Finally, we define from this expansion an approximate solution of the generalized Riemann problem and we give error bounds.