DocumentCode :
3111122
Title :
A Blow-up criterion for the 3-D compressible Navier-Stokes equations
Author :
Bian, Dongfen ; Yuan, Baoquan ; Hu, Yue
Author_Institution :
Sch. of Math. & Inf. Sci., Henan Polytech. Univ., Jiaozuo, China
fYear :
2011
fDate :
26-28 March 2011
Firstpage :
1098
Lastpage :
1102
Abstract :
In this paper, the blow-up criterion for the strong solutions to the compressible Navier-Stokes equations in ℝ3 is studied. We obtain that if supo≤t≤T ∥ρ(t)∥L∞ + ∥∇ρ(t)∥LTp(Lq(ℝ3)) + ∫oT ∥∇u(t)∥Ḃ∞,∞0 dt <; ∞, for 2/p + 3/q ≤ 2, 3 <; q <; ∞, then the strong solutions (ρ u) can be continued beyond T.
Keywords :
Navier-Stokes equations; compressible flow; 3D compressible Navier-Stokes equations; blow-up criterion; strong solutions; Equations; Heating; Information science; Mathematical model; Navier-Stokes equations;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
Type :
conf
DOI :
10.1109/ICIST.2011.5765162
Filename :
5765162
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=3111122
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