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http://hdl.handle.net/10077/4205
Title: | Asymptoptic behaviour of Sobolev constants for thin curved rods or pipes | Authors: | Marušić, Sania | Issue Date: | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 34 (2002) |
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. |
Type: | Article | URI: | http://hdl.handle.net/10077/4205 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.34 (2002) |
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MarusicRendMat34.pdf | 192.76 kB | Adobe PDF | ![]() View/Open |
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