TY - GEN
T1 - A blow-up criterion for the 3-D compressible Navier-Stokes equations
AU - Bian, Dongfen
AU - Yuan, Baoquan
AU - Hu, Yue
PY - 2011
Y1 - 2011
N2 - 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 sup0≤t≤T ||ρ(t)||L∞ + ||▽ρ(t)LTp(Lq(ℝ3)) + ∫0T || ▽u(t)||Ḃ ∞,∞0 dt < ∞, for 2/p + 3/q ≤ 2, 3 < q < ∞, then the strong solutions (ρ, u) can be continued beyond T.
AB - 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 sup0≤t≤T ||ρ(t)||L∞ + ||▽ρ(t)LTp(Lq(ℝ3)) + ∫0T || ▽u(t)||Ḃ ∞,∞0 dt < ∞, for 2/p + 3/q ≤ 2, 3 < q < ∞, then the strong solutions (ρ, u) can be continued beyond T.
UR - https://www.scopus.com/pages/publications/79957791664
U2 - 10.1109/ICIST.2011.5765162
DO - 10.1109/ICIST.2011.5765162
M3 - Conference contribution
AN - SCOPUS:79957791664
SN - 9781424494408
T3 - 2011 International Conference on Information Science and Technology, ICIST 2011
SP - 1098
EP - 1102
BT - 2011 International Conference on Information Science and Technology, ICIST 2011
T2 - 2011 International Conference on Information Science and Technology, ICIST 2011
Y2 - 26 March 2011 through 28 March 2011
ER -