Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Freistühler, Heinrich; Pellhammer, Valentin |
| Year of publication: | 2020 |
| Published in: | SIAM Journal on Mathematical Analysis ; 52 (2020), 6. - pp. 5658-5674. - Society for Industrial and Applied Mathematics (SIAM). - ISSN 0036-1410. - eISSN 1095-7154 |
| DOI (citable link): | https://dx.doi.org/10.1137/20M1323047 |
| Summary: |
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.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
| Refereed: | Yes |
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FREISTÜHLER, 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). 52(6), pp. 5658-5674. ISSN 0036-1410. eISSN 1095-7154. Available under: doi: 10.1137/20M1323047
@article{Freistuhler2020Depen-52376, title={Dependence on the Background Viscosity of Solutions to a Prototypical NonStrictly Hyperbolic System of Conservation Laws}, year={2020}, doi={10.1137/20M1323047}, 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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