Blowup for regular solutions and \(C^1\) solutions of Euler equations in \(\mathbb{R}^N\) with a free boundary
type: Item
instance of: scholarly article
title: Blowup for regular solutions and \(C^1\) solutions of Euler equations in \(\mathbb{R}^N\) with a free boundary
zbMATH Open document ID: 1408.76432
author: Manwai Yuen
published in: European Journal of Mechanics. B. Fluids
publication date: 2018-09-10T00:00:00Z
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35Q31
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 6934424
zbMATH Keywords: compressible Euler equations
zbMATH Keywords: initial value problems
zbMATH Keywords: blowup
zbMATH Keywords: free boundary problems
zbMATH Keywords: regular solutions
zbMATH Keywords: vacuum
zbMATH Keywords: classical solutions
Wikidata QID: Q59292107
MaRDI profile type: Publication
full work available at URL: j.euromechflu.2017.09.017
OpenAlex ID: W2762037647
cites work: Q4151274
cites work: The mathematical theory of dilute gases
cites work: Q4389323
cites work: Q4409403
cites work: Shallow-Water Equations and Related Topics
cites work: Compressible fluid flow and systems of conservation laws in several space variables
cites work: Q3796049
cites work: Well posedness for the motion of a compressible liquid with free surface boundary
cites work: Well-posedness of Compressible Euler Equations in a Physical Vacuum
cites work: Q3589187
cites work: Formation of singularities in three-dimensional compressible fluids
cites work: Formation of singularities in the Euler and Euler-Poisson equations
cites work: On the finite time blow-up of the Euler-Poisson equations in \(\mathbb R^{N}\)
cites work: On the formation of shocks to the compressible Euler equations
cites work: Blowup for the Euler and Euler-Poisson equations with repulsive forces
cites work: Blowup for the \(C^1\) solutions of the Euler-Poisson equations of gaseous stars in \(\mathbb R^N\)
cites work: Irrotational blowup of the solution to compressible Euler equation
cites work: Spreading of the free boundary of an ideal fluid in a vacuum
cites work: Compressible flow with damping and vacuum
cites work: Expansion of a compressible gas in vacuum
cites work: Q3920841
cites work: Exact spiral solutions of the two-dimensional Euler equations
cites work: Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in \(\mathbb R^N\)
cites work: Vortical and self-similar flows of 2D compressible Euler equations
cites work: Rotational and self-similar solutions for the compressible Euler equations in \(\mathbb R^3\)
DOI: 10.1016/J.EUROMECHFLU.2017.09.017
description: scientific article; zbMATH DE number 6934424