Hyperbolic quasilinear Navier-Stokes equations in \({\mathbb{R}}^2\)

DOI10.1007/s10884-021-09978-0zbMath1504.35222OpenAlexW3143102294WikidataQ115383226 ScholiaQ115383226MaRDI QIDQ2097606

Geneviève Raugel, Imène Hachicha, Olivier Coulaud

Publication date: 14 November 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-021-09978-0

zbMATH Keywords

Navier-Stokes equationssingular perturbationglobal in-time solutionshyperbolic orrection

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data ⋮ 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 ⋮ 3D Hyperbolic Navier-Stokes Equations in a Thin Strip: Global Well-Posedness and Hydrostatic Limit in Gevrey Space ⋮ Gevrey Well-Posedness of Quasi-Linear Hyperbolic Prandtl Equations

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