On the Navier-Stokes equations for exothermically reacting compressible fluids
type: Item
instance of: scholarly article
title: On the Navier-Stokes equations for exothermically reacting compressible fluids
zbMATH Open document ID: 1032.76056
author: David Hoff
author: Konstantina Trivisa
author: Gui-Qiang Chen
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2002-09-15T00:00:00Z
review text: The authors study mathematical models governing plane flows with chemical reaction from unburnt gases to burnt gases in certain physical regimes in which diffusive effects such as viscosity and heat conduction are significant. They establish the existence of solutions and examine their dynamic behavior, including stability, regularity, and large-time behavior of discontinuous solutions to Navier-Stokes equations, in Lagrangian coordinates, for one-dimensional reacting compressible fluids with discontinuous initial data with large oscillations. The authors construct semidiscrete difference approximations and obtain energy and regularity estimates for approximate solutions. The a priori bounds derived show that the solutions exist globally in time, and provide sufficient compactness both to extract limiting solutions and to determine their asymptotic behavior. The difference approximation techniques by energy methods, total variation estimates, and weak convergence deal with large jump discontinuities.
reviewed by: Mariano Rodríguez Ricard
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 1784811
zbMATH Keywords: global discontinuous solutions
zbMATH Keywords: large oscillation
zbMATH Keywords: combustion
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: difference approximations
MaRDI profile type: Publication
full work available at URL: s102550200002
OpenAlex ID: W2101866707
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DOI: 10.1007/S102550200002
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description: scientific article; zbMATH DE number 1784811