Entropy principle for the moment systems of degree \(\alpha\) associated to the Boltzmann equation. Critical derivatives and non-controllable boundary data
type: Item
instance of: scholarly article
title: Entropy principle for the moment systems of degree \(\alpha\) associated to the Boltzmann equation. Critical derivatives and non-controllable boundary data
zbMATH Open document ID: 1039.76059
author: Francesca Brini
author: Tomasso Ruggeri
published in: Continuum Mechanics and Thermodynamics
publication date: 2002-05-30T00:00:00Z
review text: Using simple stationary problems, the authors show that the entropy principle fails in general, if all the non-equilibrium variables are of the same order of magnitude. This is due to the fact that there exist some derivatives on non-equilibrium variables (critical derivatives) that are not small along the solutions. This property can be used to fix the non-controllable boundary data in such a manner that the critical derivatives are kept small for the solution that we may choose.
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 82D05
zbMATH DE Number: 1747932
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
full work available at URL: s001610100060
OpenAlex ID: W1992961938
DOI: 10.1007/S001610100060
description: scientific article; zbMATH DE number 1747932