3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space
Year: 2022
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 4 : pp. 471–502
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2022-0007
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 4 : pp. 471–502
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: 3D hydrostatic Navier-Stokes equations global well-posedness Gevrey class hydrostatic limit.