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Homogenization of oscillating boundaries and applications to thin films

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1670060112openalex-snapshot
Thin elastic and periodic plates
inferredcites →https://doi.org/10.1007/978-1-4612-0327-8openalex-snapshot
An Introduction to Γ-Convergence
inferredcites →https://doi.org/10.1007/bf00284506openalex-snapshot
Homogenization of nonconvex integral functionals and cellular elastic materials
inferredcites →https://doi.org/10.1007/bf02417888openalex-snapshot
Periodic solutions and homogenization of non linear variational problems
inferredcites →https://doi.org/10.1007/bfb0087685openalex-snapshot
Convex Analysis and Measurable Multifunctions
inferredcites →https://doi.org/10.1007/s002050000088openalex-snapshot
Heterogeneous Thin Films of Martensitic Materials
inferredcites →https://doi.org/10.1007/s00245-001-0022-xopenalex-snapshot
Brittle Thin Films
inferredcites →https://doi.org/10.1016/0020-7683(84)90044-1openalex-snapshot
A new model for thin plates with rapidly varying thickness
inferredcites →https://doi.org/10.1016/s0022-5096(98)00043-xopenalex-snapshot
A theory of thin films of martensitic materials withapplications to microactuatorsfn2fn2Dedicated to thememory of Juan Simo.
inferredcites →https://doi.org/10.1090/qam/782253openalex-snapshot
A new model for thin plates with rapidly varying thickness. II. A convergence proof
inferredcites →https://doi.org/10.1093/oso/9780198502463.001.0001openalex-snapshot
Homogenization of Multiple Integrals
inferredcites →https://doi.org/10.1098/rspa.2001.0821openalex-snapshot
Thin films with many small cracks
inferredcites →https://doi.org/10.1137/s0036141096306534openalex-snapshot
Analysis of Concentration and Oscillation Effects Generated by Gradients
inferredcites →https://doi.org/10.1201/9780203747940openalex-snapshot
Measure Theory and Fine Properties of Functions
inferredcites →https://doi.org/10.1512/iumj.2000.49.1822openalex-snapshot
3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
inferredcites →https://doi.org/10.1515/crll.1994.454.1openalex-snapshot
Combined effects of homogenization and singular perturbations in elasticity.
inferredcites →https://doi.org/10.1515/crll.1998.505.173openalex-snapshot
3D-2D asymptotic analysis of an optimal design problem for thin films
inferredcites →https://doi.org/10.3233/asy-1994-9105openalex-snapshot
Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/9783527618835.ch15openalex-snapshot
Differential Equations Applications
inferred← citeshttps://doi.org/10.1002/zamm.202400253openalex-snapshot
Asymptotic modeling of the current flow system described by the p(x)$p(x)$‐Laplacian
inferred← citeshttps://doi.org/10.1007/978-3-211-85430-3_9openalex-snapshot
3D-2D asymptotic analysis for inhomogeneous thin films — lectures V, VI
inferred← citeshttps://doi.org/10.1007/s00030-007-3043-6openalex-snapshot
Homogenization and behaviour of optimal controls for the wave equation in domains with oscillating boundary
inferred← citeshttps://doi.org/10.1007/s00033-010-0100-5openalex-snapshot
On the rate of convergence for perforated plates with a small interior Dirichlet zone
inferred← citeshttps://doi.org/10.1007/s00205-017-1079-2openalex-snapshot
Homogenization of the Brush Problem with a Source Term in L 1
inferred← citeshttps://doi.org/10.1007/s00245-022-09873-0openalex-snapshot
Homogenization of a Locally Periodic Oscillating Boundary
inferred← citeshttps://doi.org/10.1007/s00526-018-1354-6openalex-snapshot
Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
inferred← citeshttps://doi.org/10.1007/s10231-014-0421-7openalex-snapshot
Parabolic problems in highly oscillating thin domains
inferred← citeshttps://doi.org/10.1007/s10231-017-0673-0openalex-snapshot
Homogenization of an evolution problem with $$ L\log L$$ L log L data in a domain with oscillating boundary
inferred← citeshttps://doi.org/10.1007/s11587-007-0009-2openalex-snapshot
Limit behavior of thin heterogeneous domain with rapidly oscillating boundary
inferred← citeshttps://doi.org/10.1007/s11587-014-0183-yopenalex-snapshot
Optimal control problem for an anisotropic parabolic problem in a domain with very rough boundary
inferred← citeshttps://doi.org/10.1016/j.jde.2018.07.002openalex-snapshot
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.02.061openalex-snapshot
The Neumann problem in thin domains with very highly oscillatory boundaries
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.08.039openalex-snapshot
Thin domains with non-smooth periodic oscillatory boundaries
inferred← citeshttps://doi.org/10.1016/j.na.2022.112951openalex-snapshot
Homogenization of discrete thin structures
inferred← citeshttps://doi.org/10.1016/j.na.2024.113667openalex-snapshot
Homogenization in 3D thin domains with oscillating boundaries of different orders
inferred← citeshttps://doi.org/10.1051/cocv:2003022openalex-snapshot
Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
inferred← citeshttps://doi.org/10.1080/00036810410001724670openalex-snapshot
Optimal control for a parabolic problem in a domain with highly oscillating boundary
inferred← citeshttps://doi.org/10.1080/00036810701233942openalex-snapshot
A note on the 3D–2D dimensional reduction of a micromagnetic thin film with nonhomogeneous profile
inferred← citeshttps://doi.org/10.1080/00036811.2018.1430782openalex-snapshot
Homogenization of networks in domains with oscillating boundaries
inferred← citeshttps://doi.org/10.1080/17476933.2015.1022169openalex-snapshot
Optimal control for a second-order linear evolution problem in a domain with oscillating boundary
inferred← citeshttps://doi.org/10.1090/qam/1388openalex-snapshot
Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure
inferred← citeshttps://doi.org/10.1137/140987225openalex-snapshot
Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity
inferred← citeshttps://doi.org/10.1137/15m101600xopenalex-snapshot
Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
inferred← citeshttps://doi.org/10.1137/19m1270306openalex-snapshot
A Two-Dimensional Electrostatic Model of Interdigitated Comb Drive in Longitudinal Mode
inferred← citeshttps://doi.org/10.1142/s0219199713500089openalex-snapshot
HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH L log L DATA IN A DOMAIN WITH OSCILLATING BOUNDARY
inferred← citeshttps://doi.org/10.1186/s13661-015-0481-7openalex-snapshot
Optimal boundary conditions for the Navier-Stokes fluid in a bounded domain with a thin layer
inferred← citeshttps://doi.org/10.1512/iumj.2000.49.1822openalex-snapshot
3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
inferred← citeshttps://doi.org/10.18926/mjou/47197openalex-snapshot
HOMOGENIZATION OF NON-LINEAR VARIATIONAL PROBLEMS WITH THIN INCLUSIONS
inferred← citeshttps://doi.org/10.3233/asy-2012-1153openalex-snapshot
Exact internal controllability for a hyperbolic problem in a domain with highly oscillating boundary
inferred← citeshttps://doi.org/10.3934/cpaa.2020083openalex-snapshot
Elliptic and parabolic problems in thin domains with doubly weak oscillatory boundary
inferred← citeshttps://doi.org/10.3934/eect.2015.4.325openalex-snapshot
Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition
inferred← citeshttps://doi.org/10.3934/krm.2016017openalex-snapshot
Boundary conditions for the Stokes fluid in a bounded domain with a thin layer
inferred← citeshttps://doi.org/10.48550/arxiv.1312.1131openalex-snapshot
Parabolic problems in highly oscillating thin domains
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