Homogenization of a quasilinear parabolic problem with different alternating nonlinear Fourier boundary conditions in a two-level thick junction of the type 3:2:2

DOI10.1007/s11253-012-0618-0zbMath1259.35026OpenAlexW2041820774MaRDI QIDQ1760027

D. Yu. Sadovyi, Taras A. Mel'nyk

Publication date: 23 November 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0618-0

zbMATH Keywords

energy methodhomogenizationFourier boundary conditionsnonlinear Fourier boundary conditionsthick junctions

Mathematics Subject Classification ID

Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59)

Related Items (4)

Homogenization of a semilinear variational inequality in a thick multi-level junction ⋮ Homogenization of a boundary optimal control problem governed by Stokes equations ⋮ Homogenization of distributive optimal control problem governed by Stokes system in an oscillating domain ⋮ Asymptotic analysis of an interior optimal control problem governed by Stokes equations

Cites Work

• Junctions of singularly degenerating domains with different limit dimensions. II
• Homogenization of the Poisson equation in a thick periodic junction
• Junction of a periodic family of elastic rods with a 3d plate. I.
• Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2
• ASYMPTOTIC APPROXIMATION FOR THE SOLUTION TO THE ROBIN PROBLEM IN A THICK MULTI-LEVEL JUNCTION
• Homogenization of a boundary-value problem with a nonlinear boundary condition in a thick junction of type 3:2:1
• Boundary Homogenization and Reduction of Dimension in a Kirchhoff–Love Plate
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