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- W4287758052 abstract "We study the time-harmonic Galbrun equation describing the propagation of sound in the presence of a steady background flow. With additional rotational and gravitational terms these equations are also fundamental in helio- and asteroseismology as a model for stellar oscillations. For a simple damping model we prove well-posedness of these equations, i.e. uniqueness, existence, and stability of solutions under mild conditions on the parameters (essentially subsonic flows). The main tool of our analysis is a generalized Helmholtz decomposition." @default.
- W4287758052 created "2022-07-26" @default.
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- W4287758052 date "2020-06-13" @default.
- W4287758052 modified "2023-09-29" @default.
- W4287758052 title "On the well-posedness of the damped time-harmonic Galbrun equation and the equations of stellar oscillations" @default.
- W4287758052 doi "https://doi.org/10.48550/arxiv.2006.07658" @default.
- W4287758052 hasPublicationYear "2020" @default.
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