Publikation: A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems
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2021
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Journal of Differential Equations. Elsevier. 2021, 288, pp. 40-61. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2021.04.005
Zusammenfassung
Motivated by applications in relativistic fluid dynamics, this paper studies a general class of linear systems of partial differential equations in which a second-order symmetric hyperbolic part and a first-order symmetric hyperbolic part interact dissipatively. It shows that corresponding algebraic properties of the two operators induce decay in natural Sobolev spaces, and discusses examples which demonstrate the logical interplay between associated conditions referring to small, large, and all wave numbers, respectively.
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FREISTÜHLER, Heinrich, Matthias SROCZINSKI, 2021. A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems. In: Journal of Differential Equations. Elsevier. 2021, 288, pp. 40-61. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2021.04.005BibTex
@article{Freistuhler2021class-53748, year={2021}, doi={10.1016/j.jde.2021.04.005}, title={A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems}, volume={288}, issn={0022-0396}, journal={Journal of Differential Equations}, pages={40--61}, author={Freistühler, Heinrich and Sroczinski, Matthias} }
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