Author

Rui Li

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Preprint Sep 2026

Shock profiles for the Navier--Stokes--Fourier--Poisson system under the Boltzmann relation

The one-dimensional compressible Navier--Stokes--Fourier--Poisson system under the Boltzmann relation is studied for the existence of small-amplitude viscous shock profiles connecting the Rankine--Hugoniot states of the quasineutral Euler system with effective pressure $P_{\mathrm{eff}}=\rho(\theta+1)$. This profile is...

Ren-Jun Duan, Rui Li · 1 citation

Preprint Sep 2026

Limiting Pointwise Decay for the compressible isentropic Navier-Stokes equations

We study the long-time pointwise behavior of small localized perturbations of a constant state for the one-dimensional compressible isentropic Navier-Stokes equations. After subtracting the two Burgers diffusion waves, the convergent sum of all higher-order diffusion waves, and the cross-family viscous corrections, we...

Rui Li, Xu Song, Guang-Hui Wang et al. · 0 citations