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Ren-Jun Duan

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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

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