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- W4308166064 abstract "In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space $mathbb{R}^n$. Concerning initial datum with suitable regularities, we introduce a new threshold $|mathbb{B}_0|=0$ to distinguish different large-time behaviors. Particularly in the lower-dimensions, optimal growth estimates ($n=1$ polynomial growth, $n=2$ logarithmic growth) hold when $|mathbb{B}_0|>0$, whereas optimal decay estimates hold when $|mathbb{B}_0|=0$. Furthermore, we derive asymptotic profiles of solutions with weighted $L^1$ datum as large-time." @default.
- W4308166064 created "2022-11-08" @default.
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- W4308166064 date "2022-11-01" @default.
- W4308166064 modified "2023-10-17" @default.
- W4308166064 title "Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations" @default.
- W4308166064 doi "https://doi.org/10.48550/arxiv.2211.00836" @default.
- W4308166064 hasPublicationYear "2022" @default.
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