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Homogenization of a...
Homogenization of a Locally Periodic Oscillating Boundary
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- Aiyappan, S. (författare)
- Indian Institute of Technology Hyderabad
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- Pettersson, Klas, 1983 (författare)
- Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2022-07-02
- 2022
- Engelska.
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Ingår i: Applied Mathematics and Optimization. - : Springer Science and Business Media LLC. - 1432-0606 .- 0095-4616. ; 86:2
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Abstract
Ämnesord
Stäng
- This paper deals with the homogenization of a mixed boundary value problem for the Laplace operator in a domain with locally periodic oscillating boundary. The Neumann condition is prescribed on the oscillating part of the boundary, and the Dirichlet condition on a separate part. It is shown that the homogenization result holds in the sense of weak L2 convergence of the solutions and their flows, under natural hypothesis on the regularity of the domain. The strong L2 convergence of average preserving extensions of the solutions and their flows is also considered.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Strömningsmekanik och akustik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Fluid Mechanics and Acoustics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Homogenization
- Oscillating boundary
- Periodic unfolding
- Locally periodic boundary
- Asymptotic analysis
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
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