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• W3118783411 abstract "We study the low Mach number limit of the full Navier–Stokes–Fourier system in the case of low stratification with ill-prepared initial data for the problem stated on a moving domain with a prescribed motion of the boundary. Similarly as in the case of a fixed domain, we recover as a limit the Oberback–Boussinesq system; however, we identify one additional term in the temperature equation of the limit system which is related to the motion of the domain and which is not present in the case of a fixed domain. One of the main ingredients in the proof is the properties of the Helmholtz decomposition on moving domains and the dependence of eigenvalues and eigenspaces of the Neumann Laplace operator on time." @default.
• W3118783411 created "2021-01-18" @default.
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• W3118783411 date "2021-01-02" @default.
• W3118783411 modified "2023-10-12" @default.
• W3118783411 title "Low stratification of a heat-conducting fluid in a time-dependent domain" @default.
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• W3118783411 doi "https://doi.org/10.1007/s00028-020-00653-3" @default.
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