TY - JOUR
T1 - Compressible non-isentropic bipolar navier-stokes-poisson system in R{double-struck} 3
AU - Ling, Hsiao
AU - Li, Hailiang
AU - Yang, Tong
AU - Zou, Chen
PY - 2011/11
Y1 - 2011/11
N2 - 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.
AB - 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.
KW - Non-isentropic bipolar Navier-Stokes-Poisson system
KW - Optimal time decay rate
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U2 - 10.1016/S0252-9602(11)60392-5
DO - 10.1016/S0252-9602(11)60392-5
M3 - RGC 21 - Publication in refereed journal
VL - 31
SP - 2169
EP - 2194
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
SN - 0252-9602
IS - 6
ER -