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Abstract:
考虑一个非均质三维Navier-Stokes方程模型,借助能量方法、Littlewood-Paley仿积分解技巧和Sobolev嵌入定理研究解的整体正则性.用-D2u近似替代经典非均质Navier-Stokes方程中的耗散项△u,得到一个新的NavierStokes方程模型,其中D是一个傅里叶乘子,其特征是m(ξ)=|ξ|5/4,对于任意小的正常数ε和δ,当初值(ρ0,u0) ∈H3/2+εxHδ时,证明了该模型解的爆破准则和整体正则性.
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Source :
北京工业大学学报
ISSN: 0254-0037
Year: 2017
Issue: 2
Volume: 43
Page: 320-326
Cited Count:
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count: 2
Chinese Cited Count:
30 Days PV: 1
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