Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jde.2006.07.014
Title: Non-formation of a vacuum state in a standing piston problem
Authors: Chiang, S. 
Keywords: Navier-Stokes equations
Shockwaves
Vacuum states
Issue Date: 1-Nov-2006
Citation: Chiang, S. (2006-11-01). Non-formation of a vacuum state in a standing piston problem. Journal of Differential Equations 230 (1) : 24-48. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jde.2006.07.014
Abstract: When boundary data is introduced, additional terms are introduced into the weak formulation of the Navier-Stokes conservation law. We examine the example of single standing piston problem. The single piston problem corresponds to a fixed boundary problem. It is intuitively clear when a single piston filled with gas is pulled apart, even though gas becomes sparse in density, a vacuum state is never formed, because of viscosity. To study this rigorously, the Navier-Stokes equations are used to describe the gas's density and velocity, subject to the presence of viscosity. We prove that, given reasonable assumptions on the boundary data, vacuum states cannot form, if they are not present initially. © 2006 Elsevier Inc. All rights reserved.
Source Title: Journal of Differential Equations
URI: http://scholarbank.nus.edu.sg/handle/10635/132762
ISSN: 00220396
DOI: 10.1016/j.jde.2006.07.014
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

7
checked on Jun 14, 2018

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.