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A discussion of a homogenization procedure for a degenerate linear hyperbolic-parabolic problem
Department of Quality technology and management, mechanical engineering and mathematics, Mid Sweden University, Östersund, Sweden.
Department of Quality technology and management, mechanical engineering and mathematics, Mid Sweden University, Östersund, Sweden.
Department of Quality technology and management, mechanical engineering and mathematics, Mid Sweden University, Östersund, Sweden.
Department of Quality technology and management, mechanical engineering and mathematics, Mid Sweden University, Östersund, Sweden.
Vise andre og tillknytning
2017 (engelsk)Inngår i: ICNPAA 2016 World Congress: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, Melville, USA: American Institute of Physics (AIP), 2017, Vol. 1798, nr 1, artikkel-id 020177Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

We study the homogenization of a hyperbolic-parabolic PDE with oscillations in one fast spatial scale. Moreover, the first order time derivative has a degenerate coefficient passing to infinity when ε → 0.We obtain a local problem which is of elliptic type, while the homogenized problem is also in some sense an elliptic problem but with the limit for ε−1∂tuε as an undetermined extra source term in the right-hand side. The results are somewhat surprising and work remains to obtain a fully rigorous treatment. Hence the last section is devoted to a discussion of the reasonability of our conjecture including numerical experiments.

sted, utgiver, år, opplag, sider
Melville, USA: American Institute of Physics (AIP), 2017. Vol. 1798, nr 1, artikkel-id 020177
Serie
AIP conference proceedings, ISSN 0094-243X, E-ISSN 1551-7616 ; 1798
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Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:oru:diva-55208DOI: 10.1063/1.4972769ISI: 000399203000176Scopus ID: 2-s2.0-85013657168ISBN: 978-0-7354-1464-8 (digital)OAI: oai:DiVA.org:oru-55208DiVA, id: diva2:1070728
Konferanse
11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA 2016), La Rochelle, France, July 5-8 July, 2016
Tilgjengelig fra: 2017-02-02 Laget: 2017-02-02 Sist oppdatert: 2017-10-18bibliografisk kontrollert

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