@Article{CMAA-1-471,
author = {Li , Wei-Xi and Yang , Tong},
title = {3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space},
journal = {Communications in Mathematical Analysis and Applications},
year = {2022},
volume = {1},
number = {4},
pages = {471--502},
abstract = {<p style="text-align: justify;">We consider a hyperbolic version of three-dimensional anisotropic
Navier-Stokes equations in a thin strip and its hydrostatic limit that is a hyperbolic Prandtl type equations. We prove the global-in-time existence and
uniqueness for the two systems and the hydrostatic limit when the initial data
belong to the Gevrey function space with index 2. The proof is based on a direct
energy method by observing the damping effect in the systems.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2022-0007},
url = {http://global-sci.org/intro/article_detail/cmaa/21119.html}
}