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- W3214614929 abstract "We consider asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case. In the degenerate drift-diffusion equation, it is known that large time behavior of solutions converges to the Zel'dovich–Kompaneetz–Barenblatt (ZKB) function. For a fast-diffusion case, we show that the asymptotic profile for a solution is the generalized ZKB function such as the Talenti function. We use the entropy dissipation method combining the logarithmic Sobolev and the Shannon inequalities for the Rényi entropy that is known as an extension of the Boltzmann–Shannon entropy." @default.
- W3214614929 created "2021-11-22" @default.
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- W3214614929 date "2022-01-01" @default.
- W3214614929 modified "2023-10-18" @default.
- W3214614929 title "Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case" @default.
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- W3214614929 doi "https://doi.org/10.1016/j.jde.2021.10.032" @default.
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