On the construction of boundary layers in the incompressible limit with boundary
type: Item
instance of: scholarly article
title: On the construction of boundary layers in the incompressible limit with boundary
zbMATH Open document ID: 1308.76240
author: Ning Jiang
author: Nader Masmoudi
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2014-11-28T00:00:00Z
review text: This paper is an extension of the work by \textit{B. Desjardins} et al. [J. Math. Pures Appl., IX. Sér. 78, No. 5, 461--471 (1999; Zbl 0992.35067)]. There the authors constructed a boundary layer that was used as a test function like in the so-called method of oscillating test functions. But this construction presents a gap when the eigenvalues of the Laplacian with Neumann boundary conditions are not simple. The authors consider full acoustic and diffusion operators including the heat conductivity effect, which generates some new phenomena different from the isentropic case. This approach can be used to extend the construction of viscous boundary layers used in the hydrodynamic limit of the Boltzmann equation to the general case. Because of the additional dissipation effect from the heat conductivity, in the non-isentropic case considered, the authors are able to omit a geometric condition related to Schiffer's conjecture.
reviewed by: Marin I. Marin
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 35Q20
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6374919
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: spectral analysis
zbMATH Keywords: heat conductivity
zbMATH Keywords: dissipation effect
MaRDI profile type: Publication
full work available at URL: j.matpur.2014.04.004
OpenAlex ID: W2078579570
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DOI: 10.1016/J.MATPUR.2014.04.004
description: scientific article; zbMATH DE number 6374919