Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data

DOI10.1007/s11425-021-1956-8zbMath1491.35317arXiv2111.12836OpenAlexW4226083356WikidataQ115602243 ScholiaQ115602243MaRDI QIDQ2143468

Ping Zhang, Marius Paicu

Publication date: 31 May 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.12836

zbMATH Keywords

hydrostatic approximationhyperbolic Prandtl systemincompressible hyperbolic Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Second-order hyperbolic equations (35L10)

Related Items (6)

Gevrey-class-3 regularity of the linearised hyperbolic Prandtl system on a strip ⋮ On the role of the displacement current and the Cattaneo's law on boundary layers of plasma ⋮ Gevrey Solutions of Quasi-Linear Hyperbolic Hydrostatic Navier–Stokes System ⋮ Quantitative aspects on the ill-posedness of the Prandtl and hyperbolic Prandtl equations ⋮ Gevrey Well-Posedness of Quasi-Linear Hyperbolic Prandtl Equations ⋮ Global well-posedness of a Prandtl model from MHD in Gevrey function spaces

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