Supposons que soit une solution de l'équation de Navier–Stokes sur le torus de la dimension 3, et soit la vorticité, nous démontrons dans cette Note que l'application
Let be a strong solution of the Navier–Stokes equation on 3-dimensional torus , and be the vorticity. In this Note we show that
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@article{CRMATH_2009__347_1-2_89_0, author = {Qian, Zhongmin}, title = {An estimate for the vorticity of the {Navier{\textendash}Stokes} equation}, journal = {Comptes Rendus. Math\'ematique}, pages = {89--92}, publisher = {Elsevier}, volume = {347}, number = {1-2}, year = {2009}, doi = {10.1016/j.crma.2008.11.007}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2008.11.007/} }
TY - JOUR AU - Qian, Zhongmin TI - An estimate for the vorticity of the Navier–Stokes equation JO - Comptes Rendus. Mathématique PY - 2009 SP - 89 EP - 92 VL - 347 IS - 1-2 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2008.11.007/ DO - 10.1016/j.crma.2008.11.007 LA - en ID - CRMATH_2009__347_1-2_89_0 ER -
%0 Journal Article %A Qian, Zhongmin %T An estimate for the vorticity of the Navier–Stokes equation %J Comptes Rendus. Mathématique %D 2009 %P 89-92 %V 347 %N 1-2 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2008.11.007/ %R 10.1016/j.crma.2008.11.007 %G en %F CRMATH_2009__347_1-2_89_0
Qian, Zhongmin. An estimate for the vorticity of the Navier–Stokes equation. Comptes Rendus. Mathématique, Tome 347 (2009) no. 1-2, pp. 89-92. doi : 10.1016/j.crma.2008.11.007. http://archive.numdam.org/articles/10.1016/j.crma.2008.11.007/
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