Graph-like models for thin waveguides with Robin boundary conditions
نویسندگان
چکیده
منابع مشابه
Graph-like models for thin waveguides with Robin boundary conditions
We discuss the limit of small width for the Laplacian defined on a waveguide with Robin boundary conditions. Under suitable hypothesis on the scaling of the curvature, we prove the convergence of the Robin Laplacian to the Laplacian on the corresponding graph. We show that the projections on each transverse mode generically give rise to decoupling conditions between the edges of the graph while...
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2010
ISSN: 0921-7134
DOI: 10.3233/asy-2010-1014