Homogenization and localization in locally periodic transport

DOI10.1051/cocv:2002016zbMath1065.35042OpenAlexW2145714413MaRDI QIDQ4421083

Grégoire Allaire, Vincent Siess, Guillaume Bal

Publication date: 19 August 2003

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2002__8__1_0

zbMATH Keywords

transportconcentration phenomenonspectral transport equation

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Linear first-order PDEs (35F05) Nuclear reactor theory; neutron transport (82D75) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (3)

Multiscale topology optimization of modulated fluid microchannels based on asymptotic homogenization ⋮ Subcritical perturbation of a locally periodic elliptic operator ⋮ Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation

Cites Work

• Regularity of the moments of the solution of a transport equation
• Boundary layers and homogenization of transport processes
• Asymptotic behavior of the ground state of singularly perturbed elliptic equations
• Homogenization of a spectral problem in neutronic multigroup diffusion.
• APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS
• Study of the Corrector of the Eigenvalue of a Transport Operator
• Homogenization and Two-Scale Convergence
• Homogenization of a spectral equation with drift in linear transport
• UNIFORM SPECTRAL ASYMPTOTICS FOR SINGULARLY PERTURBED LOCALLY PERIODIC OPERATORS
• Homogenization of the criticality spectral equation in neutron transport
• Matrix Quadratic Solutions
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