Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains

dc.contributor.authorOschmann, Florian
dc.date.accessioned2023-06-12T12:04:53Z
dc.date.available2023-06-12T12:04:53Z
dc.date.issued2022-03-26
dc.description.abstractWe consider the homogenization of the compressible Navier-Stokes-Fourier equations in a randomly perforated domain in R3. Assuming that the particle size scales like ε^α, where ε>0 is their mutual distance and α>3, we show that in the limit ε→0, the velocity, density, and temperature converge to a solution of the same system. We follow the methods of Lu and Pokorný [https://doi.org/10.1016/j.jde.2020.10.032] and Pokorný and Skříšovský [https://doi.org/10.1007/s41808-021-00124-x] where they considered the full system in periodically perforated domains.en
dc.identifier.urihttp://hdl.handle.net/2003/41736
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-23579
dc.language.isoende
dc.relation.ispartofseriesJournal of mathematical fluid mechanics;24(2)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de
dc.subjectHomogenization in perforated domainsen
dc.subjectNavier-Stokes-Fourier systemen
dc.subjectBrinkman lawen
dc.subject.ddc510
dc.titleHomogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domainsen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationOschmann, F. Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains. J. Math. Fluid Mech. 24, 45 (2022). https://doi.org/10.1007/s00021-022-00679-2de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s00021-022-00679-2de

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