Publikation: Oscillating Shock Profiles in Relativistic Fluid Dynamics
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2024
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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. 341-350. 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_26
Zusammenfassung
This note studies a model for relativistic pure-radiation fluids with viscosity that was recently proposed by Bemfica, Disconzi and Noronha, and shows that there are shock waves whose continuous shock profiles, if existing, are oscillating in any variables. This behavior differs significantly from the situation in classical fluid dynamics, in which canonical state variables are monotone along the shock profile. This paper shows that a generic local scenario established in Pellhammer (submitted) for a general context extends globally for this particular model.
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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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PELLHAMMER, Valentin, 2024. Oscillating Shock Profiles in 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. 341-350. 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_26BibTex
@inproceedings{Pellhammer2024Oscil-70855, year={2024}, doi={10.1007/978-3-031-55260-1_26}, title={Oscillating Shock Profiles in 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={341--350}, editor={Parés, Carlos and Castro, Manuel J. and Morales de Luna, Tomás and Muñoz-Ruiz, María Luz}, author={Pellhammer, Valentin} }
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