Meso-scale approximations of fields around clusters of defects
From MaRDI portal
Publication:1661630
DOI10.1007/s10958-018-3883-0zbMath1403.35080OpenAlexW2807068550MaRDI QIDQ1661630
Alexander B. Movchan, Vladimir Gilelevich Maz'ya
Publication date: 16 August 2018
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-018-3883-0
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (3)
PMA celebrates the 85th birthday of V. G. Maz'ya ⋮ A Local Version of Einstein's Formula for the Effective Viscosity of Suspensions ⋮ Estimation of the Heat Conducted by a Cluster of Small Cavities and Characterization of the Equivalent Heat Conduction
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectra of domains with small spherical Neumann boundary
- Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
- An asymptotic formula for the eigenvalues of the Laplacian in a domain with a small hole
- Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
- Singular Hadamard's variation of domains and eigenvalues of the Laplacian
- Singular variation of domains and eigenvalues of the Laplacian
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- Singular variation of domain and eigenvalues of the Laplacian with the third boundary condition
- Green's kernels and meso-scale approximations in perforated domains
- On a homogenization technique for variational problems
- Uniform asymptotic formulae for Green's functions in singularly perturbed domains
- On the homogenization of degenerate elliptic equations
- Uniform asymptotic formulae for Green's kernels in regularly and singularly perturbed domains
- Green's kernels for transmission problems in bodies with small inclusions
- Mesoscale Asymptotic Approximations to Solutions of Mixed Boundary Value Problems in Perforated Domains
- Uniform asymptotic approximations of Green's functions in a long rod
- Homogenization for elasticity problems on periodic networks of critical thickness
- Homogenization of elasticity problems on singular structures
- Asymptotic treatment of perforated domains without homogenization
- On two-scale convergence
This page was built for publication: Meso-scale approximations of fields around clusters of defects
