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- W4310285124 abstract "We construct a time-asymptotic expansion with pointwise remainder estimates for solutions to 1D compressible Navier--Stokes equations. The leading-order term is the well-known diffusion wave and the higher-order terms are newly introduced family of waves which we call textit{higher-order diffusion waves}. In particular, these provide accurate description of the power-law asymptotics of the solution around the origin $x=0$ where the diffusion wave decays exponentially. The expansion is valid locally and also globally in the $L^p(mathbb{R})$-norm for all $1leq pleq infty$. The proof is based on pointwise estimates of Green's function." @default.
- W4310285124 created "2022-11-30" @default.
- W4310285124 creator A5062304601 @default.
- W4310285124 date "2022-11-25" @default.
- W4310285124 modified "2023-10-17" @default.
- W4310285124 title "Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow" @default.
- W4310285124 doi "https://doi.org/10.1007/s00205-023-01914-4" @default.
- W4310285124 hasPublicationYear "2022" @default.
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