Compressible non-isentropic bipolar navier-stokes-poisson system in R{double-struck} 3

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)2169-2194
Journal / PublicationActa Mathematica Scientia
Volume31
Issue number6
Publication statusPublished - Nov 2011

Abstract

The compressible non-isentropic bipolar Navier-Stokes-Poisson (BNSP) system is investigated in R{double-struck} 3 in the present paper, and the optimal time decay rates of global strong solution are shown. For initial data being a perturbation of equilibrium state in Hl(R{double-struck} 3)∩Ḃ 1,1 -s(R{double-struck} 3) for l ≤ 4 and s ∈ (0, 1], it is shown that the density and temperature for each charged particle (like electron or ion) decay at the same optimal rate (1 + t) - 3/4 but the momentum for each particle decays at the optimal rate (1+t) - 1/4 - s/2 which is slower than the rate (1+t) -3/4-s/2 for the compressible Navier-Stokes (NS) equations [19] for same initial data. However, the total momentum tends to the constant state at the rate (1 + t) -3/4as well, due to the interplay interaction of charge particles which counteracts the influence of electric field. © 2011 Wuhan Institute of Physics and Mathematics.

Research Area(s)

  • Non-isentropic bipolar Navier-Stokes-Poisson system, Optimal time decay rate

Citation Format(s)

Compressible non-isentropic bipolar navier-stokes-poisson system in R{double-struck} 3. / Ling, Hsiao; Li, Hailiang; Yang, Tong et al.
In: Acta Mathematica Scientia, Vol. 31, No. 6, 11.2011, p. 2169-2194.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review