Homogenization of periodic systems with large potentials

DOI10.1007/s00205-004-0332-7zbMath1072.35023OpenAlexW2129410468MaRDI QIDQ1766892

Yves Capdeboscq, Vincent Siess, Grégoire Allaire, Andrey L. Piatnitski, Muthusamy Vanninathan

Publication date: 2 March 2005

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-004-0332-7

zbMATH Keywords

Bloch wave decomposition methodoscillating test functions methodstwo scales convergence method

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (24)

Bloch wave approach to almost periodic homogenization and approximations of effective coefficients ⋮ Classical limit for the varying-mass Schrödinger equation with random inhomogeneities ⋮ Effective wave factorization for a stochastic Schrödinger equation ⋮ Diffractive behavior of the wave equation in periodic media: weak convergence analysis ⋮ Burnett coefficients and laminates ⋮ Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials ⋮ Spectral asymptotics for a singularly perturbed fourth order locally periodic elliptic operator ⋮ Bloch wave spectral analysis in the class of generalized Hashin–Shtrikman micro-structures ⋮ Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates ⋮ Multiscale analysis and numerical algorithm for the Schrödinger equations in heterogeneous media ⋮ Effective approximation for a nonlocal stochastic Schrödinger equation with oscillating potential ⋮ Second-Order Homogenization of Periodic Schrödinger Operators with Highly Oscillating Potentials ⋮ Homogenization of nonlinear reaction-diffusion equation with a large reaction term ⋮ Homogenization of a spherical harmonics expansion model ⋮ Subcritical perturbation of a locally periodic elliptic operator ⋮ Quantum transport in crystals: Effective mass theorem and k\(\cdot\)p Hamiltonians ⋮ Homogenization of a coupled system with periodic oscillating coefficients ⋮ Concentration phenomena for neutronic multigroup diffusion in random environments ⋮ Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains ⋮ Bloch Waves in Bubbly Crystal Near the First Band Gap: A High-Frequency Homogenization Approach ⋮ Homogenization of periodic non self-adjoint problems with large drift and potential ⋮ Homogenization of the spectral problem for periodic elliptic operators with sign-changing density function ⋮ Homogenization of the Schrödinger equation and effective mass theorems ⋮ On the homogenization of multicomponent transport

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