Riemann problems with a kink
Riemann problems with a kink
复制标题
黎曼扭结问题
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
N. Risebro
中科院分区：
文献类型：
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作者：
H. Holden;N. Risebro
We study the Riemann problem for isothermal flow of a gas in a thin pipe with a kink in it. This is modeled by a 2 X 2 system of conservation laws with Dirac measure sink term concentrated at the location of the bends in the pipe.我们证明，在给定与扭结两侧速度相关的额外条件的情况下，该方程组的黎曼问题始终具有唯一解。 Furthermore, we study the related problem where the flow is perturbed by a continuous addition of momentum at distinct points. Under certain conditions we show that this Riemann problem alsohas a unique solution.
We study the Riemann problem for isothermal flow of a gas in a thin pipe with a kink in it. This is modeled by a 2 X 2 system of conservation laws with Dirac measure sink term concentrated at the location of the bends in the pipe. We show that the Riemann problem for this system of equations always has a unique solution, given an extra condition relating the speeds on both sides of the kink. Furthermore, we study the related problem where the flow is perturbed by a continuous addition of momentum at distinct points. Under certain conditions we show that this Riemann problem alsohas a unique solution.