Acta mathematica scientia, Series B >
LARGE TIME BEHAVIORS OF THE ISENTROPIC BIPOLAR COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM
Received date: 2010-07-05
Online published: 2011-09-20
Supported by
This research is partially supported by NSFC (10872004), National Basic Research Program of China (2010CB731500), and the China Ministry of Education (200800010013).
The isentropic bipolar compressible Navier-Stokes-Poisson (BNSP) system is investigated in R3 in the present paper. The optimal time decay rate of global strong solution is established. When the regular initial data belong to the Sobolev space Hl(R3)∩˙B−s1,1(R3) with l ≥ 4 and s ∈ (0, 1], it is shown that the momenta of the charged particles decay at the optimal rate (1+t)−1/4−s/2 in L2-norm, which is slower than the rate (1+t)−3/4−s/2 for the compressible Navier-Stokes (NS) equations [14]. In particular, a new phenomenon on the charge transport is observed. The time decay rate of total density and momentum was both (1 + t)−3/4 due to the cancellation effect from the interplay interaction of the charged particles.
ZOU Chen . LARGE TIME BEHAVIORS OF THE ISENTROPIC BIPOLAR COMPRESSIBLE NAVIER-STOKES-POISSON SYSTEM[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1725 -1740 . DOI: 10.1016/S0252-9602(11)60357-3
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