Year: 2023
Author: Wei-Xi Li, Tong Yang, Ping Zhang
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 4 : pp. 388–420
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2023-0007
Communications in Mathematical Analysis and Applications, Vol. 2 (2023), Iss. 4 : pp. 388–420
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Hyperbolic Prandtl equations quasi-linear Gevrey class.
Author Details
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https://doi.org/10.1016/j.chaos.2024.115167 [Citations: 0]