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Boltzmann equation and hydrodynamics at the Burnett levelPrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2012 (English)In: Kinetic and Related Models, ISSN 1937-5093, Vol. 5, no 2, p. 237-260Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

American Institute of Mathematical Sciences, 2012. Vol. 5, no 2, p. 237-260
##### Keyword [en]

Hydrodynamics, regularized Burnett equations, Stability, sound propagation.
##### National Category

Mathematics
##### Research subject

Mathematics
##### Identifiers

URN: urn:nbn:se:kau:diva-8710DOI: 10.3934/krm.2012.5.237ISI: 000302962700002OAI: oai:DiVA.org:kau-8710DiVA, id: diva2:453603
#####

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Available from: 2011-11-03 Created: 2011-11-03 Last updated: 2012-12-04Bibliographically approved
##### In thesis

The hydrodynamics at the Burnett level is discussed in detail. First we explain the shortest way to derive the classical Burnett equations from the Boltzmann equation. Then we sketch all the computations needed for details of these equations. It is well known that the classical Burnett equations are ill-posed. We therefore explain how to make a regularization of these equations and derive the well-posed generalized Burnett equations (GBEs). We discuss briefly an optimal choice of free parameters in GBEs and consider a specific version of these equations. It is remarkable that this version of GBEs is even simpler than the original Burnett equations, it contains only third derivatives of density. Finally we prove a linear stability for GBEs. We also present some numerical results on the sound propagation based on GBEs and compare them with the Navier-Stokes results and experimental data.

1. Some Problems in Kinetic Theory and Applications$(function(){PrimeFaces.cw("OverlayPanel","overlay446956",{id:"formSmash:j_idt1116:0:j_idt1121",widgetVar:"overlay446956",target:"formSmash:j_idt1116:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

doi
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