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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.34 (2002)
  6. Asymptoptic behaviour of Sobolev constants for thin curved rods or pipes
 
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Asymptoptic behaviour of Sobolev constants for thin curved rods or pipes

Marušić, Sania
2002
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ISSN
0049-4704
http://hdl.handle.net/10077/4205
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Abstract
We study the Sobolev imbedding inequality in a curved rod or pipe with a smooth central curve $\gamma$. Using the variational approach and the two-scale convergence for thin domains we find the limit of the Sobolev imbedding constant W$^{1,r}\hookrightarrow L^{q}$ as $\epsilon$, the ratio between cross section diameter and the lenght of the rod, tends to 0.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
34 (2002)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Sania Marušić, "Asymptoptic behaviour of Sobolev constants for thin curved rods or pipes", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 34 (2002), pp. 57-65.
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