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Abstract:
The bipolar nonisentropic compressible Euler-Maxwell system is investigated in R-3 in the present paper, and the L-n time decay rate for the global smooth solution is established. It is shown that the total densities, total temperatures, and magnetic field of two carriers converge to the equilibrium states at the same rate (1 + t)(-3/2+3/2n) in L-n norm. But both the difference of densities and the difference of temperatures of two carriers decay at the rate (1 + t)(-2-1/n), and the velocity and electric field decay at the rate (1 + t)(-3/2+1/2n). This phenomenon on the charge transport shows the essential difference between the nonisentropic unipolar Euler-Maxwell and the bipolar isentropic Euler-Maxwell system.
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Source :
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN: 0036-1410
Year: 2012
Issue: 5
Volume: 44
Page: 3429-3457
2 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
JCR Journal Grade:1
CAS Journal Grade:2
Cited Count:
WoS CC Cited Count: 18
SCOPUS Cited Count: 20
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 6
Affiliated Colleges: