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Abstract:
In this paper, we study the quasineutral limit and asymptotic behaviors for the quantum Navier-Stokes-Possion equation. We apply a formal expansion according to Debye length and derive the neutral incompressible Navier-Stokes equation. To establish this limit mathematically rigorously, we derive uniform (in Debye length) estimates for the remainders, for well prepared initial data. It is demonstrated that the quantum effect do play important roles in the estimates and the norm introduced depends on the Planck constant h > 0.
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Source :
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
ISSN: 1534-0392
Year: 2017
Issue: 1
Volume: 16
Page: 273-293
1 . 0 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:66
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 6
SCOPUS Cited Count: 7
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 5
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