Pregled bibliografske jedinice broj: 91729
Optimal design for the principal eigenvalue of stationary diffusion problems
Optimal design for the principal eigenvalue of stationary diffusion problems // First SIAM-EMS Conference, Applied mathematics in our changing world / Jeltsch R.,Strang G., Deuflhard P. (ur.).
Berlin: Konrad-Zuse-Zentrum fur Informationstechnick, 2001. str. 73-73 (predavanje, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Optimal design for the principal eigenvalue of stationary diffusion problems
Autori
Vrdoljak, Marko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
First SIAM-EMS Conference, Applied mathematics in our changing world
/ Jeltsch R.,Strang G., Deuflhard P. - Berlin : Konrad-Zuse-Zentrum fur Informationstechnick, 2001, 73-73
Skup
First SIAM-EMS Conference, Applied mathematics in our changing world
Mjesto i datum
Berlin, Njemačka, 02.09.2001. - 06.09.2001
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
optimal design; principal eigenvalue; homogenisation
Sažetak
The optimal design problem for the first (principal) eigenvalue associated to the stationary diffusion equation with symmetric matrix of coefficients (or the elasticity system) was considered by many authors. In the case of nonsymmetric coefficients, that is addressed here, applied techniques are of little use. We describe the behaviour of the principal eigenvalue in the homogenisation process, leading to relaxation. The Harnack inequality and the Krein-Rutman theorem are crucial for the proof.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037015
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Marko Vrdoljak
(autor)