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Asymptotic Behaviour of Sobolev Constants for Thin Curved rods or Pipes (CROSBI ID 107141)
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Marušić, Sanja
Asymptotic Behaviour of Sobolev Constants for Thin Curved rods or Pipes // Rendiconti dell'Istituto di Matematica dell'Universita di Trieste, XXXIV (2002), 57-65-x
Podaci o odgovornosti
Marušić, Sanja
engleski
Asymptotic Behaviour of Sobolev Constants for Thin Curved rods or Pipes
We study the Sobolev imbedding inequality in a curved rod or a pipe with a smooth central curve \gamma. Using tha variational approach and the two-scale convergence for thin domains we find the limit of the Sobolev imbedding constant W^{;1, r};->L^{;q};. as \eps, the ratio between cross section diameter and the length of the rod, tends to 0.
Sobolev inequality; Variational characterization; Two-scale convergence; Thin domains
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Podaci o izdanju
XXXIV
2002.
57-65-x
objavljeno
0049-4704