On slightly compressible ideal flow in the half-plane
type: Item
instance of: scholarly article
title: On slightly compressible ideal flow in the half-plane
zbMATH Open document ID: 1026.76040
author: Paolo Secchi
published in: Archive for Rational Mechanics and Analysis
publication date: 2002-05-21T00:00:00Z
review text: A boundary value problem in a half-plane is considered for two-dimensional compressible Euler equations at a small Mach number \(\varepsilon\). The velocity field is decomposed as a sum of irrotational part, incompressible part, and a remainder. First, the existence is studied when initial data are irrotational and close to a constant state. Then existence is proved for any initial data subjected to smallness restrictions ruled by \(\varepsilon\).
reviewed by: V. V. Shelukhin
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1743157
zbMATH Keywords: small initial data
zbMATH Keywords: zero Mach number limit
zbMATH Keywords: boundary value problem
zbMATH Keywords: half-plane
zbMATH Keywords: two-dimensional compressible Euler equations
zbMATH Keywords: small Mach number
zbMATH Keywords: velocity decomposition
MaRDI profile type: Publication
full work available at URL: s002050100179
OpenAlex ID: W1995782264
DOI: 10.1007/S002050100179
description: scientific article; zbMATH DE number 1743157