Generalization of unfolding operator for highly oscillating smooth boundary domains and homogenization
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Publication:1650896
DOI10.1007/s00526-018-1354-6zbMath1403.35029OpenAlexW2802298313MaRDI QIDQ1650896
Ravi Prakash, S. Aiyappan, A. K. Nandakumaran
Publication date: 16 July 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1354-6
Boundary value problems for second-order elliptic equations (35J25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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Cites Work
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- Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition
- Asymptotic analysis and error estimates for an optimal control problem with oscillating boundaries
- Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure
- Homogenized equations of the linear elasticity theory in two-dimensional domains with interfaces highly oscillating between two circles
- Asymptotic analysis of an optimal control problem involving a thick two-level junction with alternate type of controls
- Homogenization of oscillating boundaries
- Asymptotic behaviour of non-homogeneous Neumann problems in domains with oscillating boundary
- Periodic unfolding and homogenization
- Boundary homogenization and Neumann boundary value problem
- Junction of a periodic family of elastic rods with a 3d plate. I.
- Junction of a periodic family of elastic rods with a thin plate. II.
- Homogenization and behaviour of optimal controls for the wave equation in domains with oscillating boundary
- Unfolding Operator Method for Thin Domains with a Locally Periodic Highly Oscillatory Boundary
- Asymptotic analysis of Neumann periodic optimal boundary control problem
- Exact internal controllability for a hyperbolic problem in a domain with highly oscillating boundary
- Thin domains with doubly oscillatory boundary
- Homogenization of quasilinear optimal control problems involving a thick multilevel junction of type 3 : 2 : 1
- 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
- Periodic Controls in an Oscillating Domain: Controls via Unfolding and Homogenization
- 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
- Asymptotics of the Poisson Problem in Domains with Curved Rough Boundaries
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogenization of Rough Boundaries and Interfaces
- Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem
- Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary
- Optimal control for a parabolic problem in a domain with highly oscillating boundary
- Optimal control problem for the time-dependent Kirchhoff–Love plate in a domain with rough boundary
- Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity
- The Periodic Unfolding Method in Homogenization
- Optimal control problem in a domain with branched structure and homogenization
- HOMOGENIZATION OF AN ELLIPTIC SECOND-ORDER PROBLEM WITH LlogL DATA IN A DOMAIN WITH OSCILLATING BOUNDARY
- Homogenization of oscillating boundaries and applications to thin films
