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Abstract:
A model of inhomogeneous three-dimensional Navier-Stokes equations was studied in this paper. By using the energy method, Littlewood-Paley paraproduct decomposition techniques and Sobolev embedding theorem study of the global regularity of solutions were adopted. The dissipative term Δu in the classical inhomogeneous Navier-Stokes equations is replaced by -D2u and a new Navier-Stokes equations model was obtained, where D was a Fourier multiplier whose symbol is m(ξ)=|ξ|5/4. Blow-up criterion and global regularity of this model were proved for the initial data (ρ0, u0)∈H3/2+ε×Hδ, where ε and δ are arbitrary small positive constants. © 2017, Editorial Department of Journal of Beijing University of Technology. All right reserved.
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Journal of Beijing University of Technology
ISSN: 0254-0037
Year: 2017
Issue: 2
Volume: 43
Page: 320-326
Cited Count:
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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