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author:

Jiang, Han (Jiang, Han.) [1] | Wang, Jialiang (Wang, Jialiang.) [2] | Zhang, Yajie (Zhang, Yajie.) [3]

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we investigate the instability for Rayleigh-Taylor problem of three-dimensional incompressible non-Newtonian fluids with Eills-type. If the density profile in equilibrium-state is heavier with increasing height, we prove that the equilibrium-state solution is unstable under H3$$ {H}<^>3 $$-norm by exploiting a bootstrap method.

Keyword:

asymptotically stable classical solution equilibrium-state solution non-Newtonian fluids Rayleigh-Taylor instability

Community:

  • [ 1 ] [Jiang, Han]Fuzhou Univ, Coll Math & Stat, Fuzhou, Peoples R China
  • [ 2 ] [Wang, Jialiang]Fuzhou Univ, Coll Math & Stat, Fuzhou, Peoples R China
  • [ 3 ] [Zhang, Yajie]Fuzhou Univ, Coll Math & Stat, Fuzhou, Peoples R China
  • [ 4 ] [Jiang, Han]Ctr Appl Math Fujian Prov, Fuzhou 350108, Peoples R China
  • [ 5 ] [Wang, Jialiang]Ctr Appl Math Fujian Prov, Fuzhou 350108, Peoples R China
  • [ 6 ] [Zhang, Yajie]Ctr Appl Math Fujian Prov, Fuzhou 350108, Peoples R China
  • [ 7 ] [Jiang, Han]Univ Fujian, Key Lab Operat Res & Control, Fuzhou, Peoples R China
  • [ 8 ] [Wang, Jialiang]Univ Fujian, Key Lab Operat Res & Control, Fuzhou, Peoples R China
  • [ 9 ] [Zhang, Yajie]Univ Fujian, Key Lab Operat Res & Control, Fuzhou, Peoples R China
  • [ 10 ] [Wang, Jialiang]Fuzhou Univ, Coll Math & Stat, Fuzhou 350108, Peoples R China

Reprint 's Address:

  • [Wang, Jialiang]Fuzhou Univ, Coll Math & Stat, Fuzhou 350108, Peoples R China;;

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Source :

MATHEMATICAL METHODS IN THE APPLIED SCIENCES

ISSN: 0170-4214

Year: 2023

Issue: 2

Volume: 47

Page: 825-846

2 . 1

JCR@2023

2 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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