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In [F. Jiang and S. Jiang, Adv. Math., 264, 831-863, 2014], the author and Jiang investigated the instability of Rayleigh Taylor steady-state of a three-dimensional nonhomogeneous incompressible viscous flow driven by gravity in a bounded domain Omega of class C-2. In particular, we proved the steady-state is nonlinearly unstable under a restrictive condition of that the derivative function of steady density possesses a positive lower bound. In this article, by exploiting a standard energy functional and more-refined analysis of error estimates in the bootstrap argument, we further show the nonlinear instability result without the restrictive condition.
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COMMUNICATIONS IN MATHEMATICAL SCIENCES
ISSN: 1539-6746
Year: 2016
Issue: 5
Volume: 14
Page: 1269-1281
1 . 4 2 5
JCR@2016
1 . 2 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
ESI HC Threshold:76
JCR Journal Grade:1
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 11
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 3
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