Hyperbolic quasilinear Navier-Stokes equations in \({\mathbb{R}}^2\)
type: Item
instance of: scholarly article
title: Hyperbolic quasilinear Navier-Stokes equations in \({\mathbb{R}}^2\)
zbMATH Open document ID: 1504.35222
author: Imène Hachicha
author: Geneviève Raugel
author: Olivier Coulaud
published in: Journal of Dynamics and Differential Equations
publication date: 2022-11-14T00:00:00Z
review text: A hyperbolic correction to the Navier-Stokes equations reflects the application of the Cattaneo law instead of the usual Fourier approximation, and lead to avoiding infinite speed phenomena. The authors analyze two-dimensional hyperbolic version of these equations, and show local-in-time existence of solutions. Moreover, global-in-time results are derived under some smallness assumptions. Those assumptions disappear in the limit of vanishing hyperbolic correction to the classical Navier-Stokes equation recovering their well-known global-in-time solvability in two-dimensional setting.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 7616284
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: hyperbolic orrection
zbMATH Keywords: singular perturbation
zbMATH Keywords: global in-time solutions
Wikidata QID: Q115383226
MaRDI profile type: Publication
full work available at URL: s10884-021-09978-0
OpenAlex ID: W3143102294
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DOI: 10.1007/S10884-021-09978-0
description: scientific article; zbMATH DE number 7616284