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author:

Jiang, Fei (Jiang, Fei.) [1] (Scholars:江飞)

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Navier Stokes equations Rayleigh-Taylor instability steady state solutions

Community:

  • [ 1 ] [Jiang, Fei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • 江飞

    [Jiang, Fei]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China

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Source :

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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