On the curvature and torsion effects in one dimensional waveguides

DOI10.1051/cocv:2007042zbMath1139.49043OpenAlexW2135449661MaRDI QIDQ5425992

M. Luísa Mascarenhas, Guy Bouchitté, L. Trabucho

Publication date: 15 November 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_4_793_0

zbMATH Keywords

dimension reductionwaveguides\(\Gamma\)-convergencecurvature and torsion

Mathematics Subject Classification ID

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Cites Work

• Bloch wave homogenization and spectral asymptotic analysis
• Homogenization of eigenvalue problems in perforated domains
• An introduction to \(\Gamma\)-convergence
• Geometrically induced discrete spectrum in curved tubes
• CURVATURE-INDUCED BOUND STATES IN QUANTUM WAVEGUIDES IN TWO AND THREE DIMENSIONS
• Variational problems on multiply connected thin strips. II: Convergence of the Ginzburg-Landau functional
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