From discrete Boltzmann equation to compressible linearized Euler equations

Simple item page
dc.contributor.authorBellouquid, Abdelghani
dc.date.accessioned2021-05-03T17:02:16Z
dc.date.available2021-05-03T17:02:16Z
dc.date.issued2004-09-08
dc.description.abstractThis paper concerns the asymptotic analysis of the linearized Euler limit for a general discrete velocity model of the Boltzmann equation. This is done for any dimension of the physical space, for densities which remain in a suitable small neighbourhood of global Maxwellians. Providing that the initial fluctuations are smooth, the scaled solutions of discrete Boltzmann equation are shown to have fluctuations that locally in time converge weakly to a limit governed by a solution of linearized Euler equations. The weak limit becomes strong when the initial fluctuations converge to appropriate initial data. As applications, the two-dimensional 8-velocity model and the one-dimensional Broadwell model are analyzed in detail.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBellouquid, A. (2004). From discrete Boltzmann equation to compressible linearized Euler equations. <i>Electronic Journal of Differential Equations, 2004</i>(104), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13476
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDiscrete Boltzmann equation
dc.subjectKinetic theory
dc.subjectAsymptotic theory
dc.subjectCompressible Euler
dc.subjectBroadwell model
dc.titleFrom discrete Boltzmann equation to compressible linearized Euler equations
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
bellouquid.pdf
Size:
302.72 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations