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On the Friedrichs inequality in a domain perforated aperiodically along the boundary : Homogenization procedure. Asymptotics for parabolic problems
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- Chechkin, G.A. (author)
- Department of Mechanics and Mathematics, Moscow State University
- Koroleva, Yulia O. (author)
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- Meidell, Annette (author)
- Narvik University College, 8505 Narvik, Norway
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- (creator_code:org_t)
- 2009
- 2009
- English.
- In: Russian journal of mathematical physics. - 1061-9208 .- 1555-6638. ; 16:1, s. 1-16
- Journal article (peer-reviewed)
Abstract
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- This paper is devoted to the asymptotic analysis of functions depending on a small parameter characterizing the microinhomogeneous structure of the domain on which the functions are defined. We derive the Friedrichs inequality for these functions and prove the convergence of solutions to corresponding problems posed in a domain perforated aperiodically along the boundary. Moreover, we use numerical simulation to illustrate the results.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
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- ref (subject category)
- art (subject category)
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- Luleå University of Technology
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