Homogenization of a boundary value problem with mixed type of boundary conditions in a thick junction

DOI10.1134/S0012266107050138zbMath1140.35340MaRDI QIDQ2480474

P. S. Vashchuk, T. A. Mel'nik

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

homogeneous Dirichlet conditionsinhomogeneous Neumann boundary conditions

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Averaging in cascade junctions with a ``wide transmission domain, Homogenization of the Signorini boundary-value problem in a thick plane junction, Convergence theorems for solutions and energy functionals of boundary value problems in thick multilevel junctions of a new type with perturbed Neumann conditions on the boundary of thin rectangles, Homogenization of a boundary value problem in a thick cascade junction, Homogenization of the Signorini boundary-value problem in a thick junction and boundary integral equations for the homogenized problem, Homogenization of a parabolic Signorini boundary value problem in a thick plane junction

Cites Work

• Boundary homogenization for elliptic problems
• Homogenization of reticulated structures
• Homogenization of the Poisson equation in a thick periodic junction
• ASYMPTOTIC APPROXIMATION FOR THE SOLUTION TO THE ROBIN PROBLEM IN A THICK MULTI-LEVEL JUNCTION
• Homogenization of a Boundary-Value Problem with Varying type of Boundary Conditions in a Thick Two-Level Junction
• Homogenization of the Robin problem in a thick multilevel junction
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