@Article{JPDE-24-70, author = {}, title = {Remarks on the Regularity Criteria of Three-dimensional Navier-Stokes Equations in Margin Case}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {1}, pages = {70--82}, abstract = {

In the study of the regularity criteria for Leray weak solutions to three-dimensional Navier-Stokes equations, two sufficient conditions such that the horizontal velocity \tilde{u} satisfies \tilde{u}∈L^2(0,T;BMO(R^3)) or \tilde{u}∈ L^{2/1+r}(0,T; \dot{B}^r_{∞,∞}(R^3)) for 0 < r < 1 are considered.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n1.5}, url = {http://global-sci.org/intro/article_detail/jpde/5198.html} }