@Article{CMAA-2-4,
author = {Wei-Xi, Li and Yang, Tong and Zhang, Ping},
title = {Gevrey Well-Posedness of Quasi-Linear Hyperbolic Prandtl Equations},
journal = {Communications in Mathematical Analysis and Applications},
year = {2023},
volume = {2},
number = {4},
pages = {388--420},
abstract = {<p style="text-align: justify;">We study the hyperbolic version of the Prandtl system derived from
the hyperbolic Navier-Stokes system with no-slip boundary condition. Compared to the classical Prandtl system, the quasi-linear terms in the hyperbolic
Prandtl equation leads to an additional instability mechanism. To overcome
the loss of derivatives in all directions in the quasi-linear term, we introduce
a new auxiliary function for the well-posedness of the system in an anisotropic
Gevrey space which is Gevrey class 3/2 in the tangential variable and is analytic in the normal variable.</p>},
issn = {2790-1939},
doi = {https://doi.org/10.4208/cmaa.2023-0007},
url = {https://global-sci.com/article/81422/gevrey-well-posedness-of-quasi-linear-hyperbolic-prandtl-equations}
}