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- W4386114297 abstract "In the diffusive scaling and in the whole space, we prove the global well-posedness of the scaled Boltzmann-Bose-Einstein (briefly, BBE) equation with high temperature in the low regularity space $H^2_xL^2$. In particular, we quantify the fluctuation around the Bose-Einstein equilibrium $mathcal{M}_{lambda,T}(v)$ with respect to the parameters $lambda$ and temperature $T$. Furthermore, the estimate for the diffusively scaled BBE equation is uniform to the Knudsen number $epsilon$. As a consequence, we rigorously justify the hydrodynamic limit to the incompressible Navier-Stokes-Fourier equations. This is the first rigorous fluid limit result for BBE." @default.
- W4386114297 created "2023-08-24" @default.
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- W4386114297 date "2023-08-22" @default.
- W4386114297 modified "2023-09-27" @default.
- W4386114297 title "Quantitative global well-posedness of Boltzmann-Bose-Einstein equation and incompressible Navier-Stokes-Fourier limit" @default.
- W4386114297 doi "https://doi.org/10.48550/arxiv.2308.11453" @default.
- W4386114297 hasPublicationYear "2023" @default.
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