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Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws

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2020

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https://doi.org/10.1137/20M1323047
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SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics (SIAM). 2020, 52(6), pp. 5658-5674. ISSN 0036-1410. eISSN 1095-7154. Available under: doi: 10.1137/20M1323047

Zusammenfassung

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.

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510 Mathematik

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ISO 690FREISTÜHLER, Heinrich, Valentin PELLHAMMER, 2020. Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws. In: SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics (SIAM). 2020, 52(6), pp. 5658-5674. ISSN 0036-1410. eISSN 1095-7154. Available under: doi: 10.1137/20M1323047
BibTex
@article{Freistuhler2020Depen-52376,
  year={2020},
  doi={10.1137/20M1323047},
  title={Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws},
  number={6},
  volume={52},
  issn={0036-1410},
  journal={SIAM Journal on Mathematical Analysis},
  pages={5658--5674},
  author={Freistühler, Heinrich and Pellhammer, Valentin}
}
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