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Abstract:
Quasi-neutral limit and the boundary layer problem of the two/three dimensional incompressible Planck-Nernst-Poisson-Navier-Stokes equations for electro hydrodynamics with the general mobilities of two kinds of charges and in the bounded domain is studied. For the generally smooth doping profile and the physical case that the mobilities of two kinds of charges is different, quasi-neutral limit with a subtle boundary layer structure is rigorously proved by constructing one new lambda-weighted entropy functional coupled with multi-scaling approximating expansion techniques. (C) 2019 Elsevier Inc. All rights reserved.
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Source :
JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN: 0022-0396
Year: 2019
Issue: 6
Volume: 267
Page: 3475-3523
2 . 4 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:54
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 12
SCOPUS Cited Count: 11
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 9
Affiliated Colleges: