Publikation: On Shock Profiles in Four-Field Formulations of Dissipative Relativistic Fluid Dynamics
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2024
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Temple, Blake
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PARÉS, Carlos, Hrsg., Manuel J. CASTRO, Hrsg., Tomás MORALES DE LUNA, Hrsg., María Luz MUÑOZ-RUIZ, Hrsg.. Hyperbolic Problems : Theory, Numerics, Applications. Volume I. Cham: Springer, 2024, S. 251-261. SEMA SIMAI Springer Series. 34. ISSN 2199-3041. eISSN 2199-305X. ISBN 978-3-031-55259-5. Verfügbar unter: doi: 10.1007/978-3-031-55260-1_18
Zusammenfassung
This paper shows that in second-order hyperbolic systems of partial differential equations proposed in authors’ earlier paper (J. Math. Phys. 59 (2018)) for modelling the relativistic dynamics of barotropic fluids in the presence of viscosity and heat conduction, shock waves of arbitrary strength have smooth, monotone dissipation profiles. The results and arguments extend classical considerations of Weyl (Comm. Pure Appl. Math. 2 (1949)) and Gilbarg (Amer. J. Math. 73 (1951)) to the relativistic setting. By contrast, for the related Bemfica-Disconzi-Noronha model (Phys. Rev. D 98 (2018)) many shocks have either no or only oscillatory profiles.
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510 Mathematik
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HYP2022 : XVIII International Conference on Hyperbolic Problems, 20. Juni 2022 - 24. Juni 2022, Málaga, Spain
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FREISTÜHLER, Heinrich, Blake TEMPLE, 2024. On Shock Profiles in Four-Field Formulations of Dissipative Relativistic Fluid Dynamics. HYP2022 : XVIII International Conference on Hyperbolic Problems. Málaga, Spain, 20. Juni 2022 - 24. Juni 2022. In: PARÉS, Carlos, Hrsg., Manuel J. CASTRO, Hrsg., Tomás MORALES DE LUNA, Hrsg., María Luz MUÑOZ-RUIZ, Hrsg.. Hyperbolic Problems : Theory, Numerics, Applications. Volume I. Cham: Springer, 2024, S. 251-261. SEMA SIMAI Springer Series. 34. ISSN 2199-3041. eISSN 2199-305X. ISBN 978-3-031-55259-5. Verfügbar unter: doi: 10.1007/978-3-031-55260-1_18BibTex
@inproceedings{Freistuhler2024Shock-70856, year={2024}, doi={10.1007/978-3-031-55260-1_18}, title={On Shock Profiles in Four-Field Formulations of Dissipative Relativistic Fluid Dynamics}, number={34}, isbn={978-3-031-55259-5}, issn={2199-3041}, publisher={Springer}, address={Cham}, series={SEMA SIMAI Springer Series}, booktitle={Hyperbolic Problems : Theory, Numerics, Applications. Volume I}, pages={251--261}, editor={Parés, Carlos and Castro, Manuel J. and Morales de Luna, Tomás and Muñoz-Ruiz, María Luz}, author={Freistühler, Heinrich and Temple, Blake} }
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