Publikation:

Time-Asymptotic Stability for First-Order Symmetric Hyperbolic Systems of Balance Laws in Dissipative Compressible Fluid Dynamics

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2022

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Quarterly of Applied Mathematics. American Mathematical Society (AMS). 2022, 80(3), pp. 597-606. ISSN 0033-569X. eISSN 1552-4485. Available under: doi: 10.1090/qam/1620

Zusammenfassung

This paper identifies a non-(or /iso-)thermal variant of Ruggeri's 1983 formulation of viscous heat-conductive fluid dynamics as a hyperbolic system of balance laws and shows that both the original model and this variant have (a) time-asymptotically stable equilibria and (b) principal parts deriving from a protopotential: a single scalar function that induces the temporospatial flux as an appropriate part of its Hessian.

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510 Mathematik

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Dynamics of compressible fluids

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ISO 690FREISTÜHLER, Heinrich, 2022. Time-Asymptotic Stability for First-Order Symmetric Hyperbolic Systems of Balance Laws in Dissipative Compressible Fluid Dynamics. In: Quarterly of Applied Mathematics. American Mathematical Society (AMS). 2022, 80(3), pp. 597-606. ISSN 0033-569X. eISSN 1552-4485. Available under: doi: 10.1090/qam/1620
BibTex
@article{Freistuhler2022TimeA-56528,
  year={2022},
  doi={10.1090/qam/1620},
  title={Time-Asymptotic Stability for First-Order Symmetric Hyperbolic Systems of Balance Laws in Dissipative Compressible Fluid Dynamics},
  number={3},
  volume={80},
  issn={0033-569X},
  journal={Quarterly of Applied Mathematics},
  pages={597--606},
  author={Freistühler, Heinrich}
}
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