@Article{IJNAM-11-452,
author = {Y. He and J. Wu},
title = {Global $H^2$-Regularity Results of the 3D Primitive Equations of the Ocean},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {3},
pages = {452--477},
abstract = {<p style="text-align: justify;">In this article, we consider the 3D viscous primitive equations (PEs for brevity) of the ocean under two physically relevant boundary conditions for the $H^1$ and $H^2$ smooth initial data,
respectively. The $H^2$ regularity result of the solution for the viscous PEs of the ocean has been
unknown since the work by Cao and Titi [3], and Kobelkov [26]. In this article we provide the
global $H^2$-regularity results of the solution and its time derivatives for the 3D viscous primitive
equations of the ocean by using the $L^6$ estimates developed in [3] and some new energy estimate
techniques.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/537.html}
}