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In this study we consider the $\Gamma$-limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\infty\}$ or $\{1,\beta \varepsilon^{-p}\}$ where $\beta,\varepsilon
Externí odkaz:
http://arxiv.org/abs/1406.2032
The $\Gamma$-limit for a sequence of length functionals associated with a one parameter family of Riemannian manifolds is computed analytically. The Riemannian manifold is of `two-phase' type, that is, the metric coefficient takes values in $\{1,\bet
Externí odkaz:
http://arxiv.org/abs/1401.1966
Publikováno v:
Schwetlick, H, Sutton, D C & Zimmer, J 2015, ' On the Γ-limit for a non-uniformly bounded sequence of two-phase metric functionals ', Discrete and Continuous Dynamical Systems-Series A, vol. 35, no. 1, pp. 411-426 . https://doi.org/10.3934/dcds.2015.35.411
In this study we consider the $\Gamma$-limit of a highly oscillatory Riemannian metric length functional as its period tends to 0. The metric coefficient takes values in either $\{1,\infty\}$ or $\{1,\beta \varepsilon^{-p}\}$ where $\beta,\varepsilon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3bc48d4271d7af1d2922fbf7faa254d
http://arxiv.org/abs/1406.2032
http://arxiv.org/abs/1406.2032