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Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws
SIAM Journal on Mathematical Analysis ( IF 2 ) Pub Date : 2020-11-12 , DOI: 10.1137/20m1323047
Heinrich Freistühler , Valentin Pellhammer

SIAM Journal on Mathematical Analysis, Volume 52, Issue 6, Page 5658-5674, January 2020.
This paper studies a nonstrictly hyperbolic system of conservation laws in one space dimension which has been proposed in the literature as mathematically natural and as a model of magnetohydrodynamic (MHD) turbulence. It is shown that the associated Riemann problem possesses a one-parameter family of different solution operators, each of which corresponds to a different ratio of two dissipation parameters that in the MHD interpretation correspond to coefficients of fluid viscosity and electrical resistivity.


中文翻译:

守恒律对原型非严格双曲方程组解的背景粘性的依赖

SIAM数学分析期刊,第52卷,第6期,第5658-5674页,2020年1月。
本文研究了一种在空间维度上守恒律的非严格双曲系统,该系统已在文献中被提议为数学上自然的和磁流体动力学模型。 (MHD)湍流。结果表明,相关的黎曼问题拥有一个由不同解算子组成的单参数族,每个算子对应于两个耗散参数的不同比率,在MHD解释中,这两个耗散参数对应于流体粘度和电阻率的系数。
更新日期:2020-11-13
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