TY - JOUR
T1 - Remarks on a Liouville-type theorem for Beltrami flows
AU - Chae, Dongho
AU - Constantin, Peter
PY - 2015/1/1
Y1 - 2015/1/1
N2 - We present a simple, short, and elementary proof that if ν is a Beltrami flow with a finite energy in ℝ3, then ν =0. In the case of the Beltrami flows satisfying ν ∈ L loc∞ (ℝ3) ∩ Lq(ℝ3) with q ∈ [2, 3), or |ν(x)| = O(1/|x|1+ε) for some ε >0, we provide a different, simple proof that ν =0.
AB - We present a simple, short, and elementary proof that if ν is a Beltrami flow with a finite energy in ℝ3, then ν =0. In the case of the Beltrami flows satisfying ν ∈ L loc∞ (ℝ3) ∩ Lq(ℝ3) with q ∈ [2, 3), or |ν(x)| = O(1/|x|1+ε) for some ε >0, we provide a different, simple proof that ν =0.
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U2 - 10.1093/imrn/rnu233
DO - 10.1093/imrn/rnu233
M3 - Article
AN - SCOPUS:84948443391
VL - 2015
SP - 10012
EP - 10016
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 20
ER -