Homogenization of linear Boltzmann equations in the context of algebras with mean value

DOI10.1007/s00033-020-01391-9zbMath1462.35041arXiv2005.02718OpenAlexW3021623902MaRDI QIDQ2023001

Jean Louis Woukeng, R. Kenne Bogning, P. Fouegap, David Dongo, Gabriel Nguetseng

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.02718

zbMATH Keywords

Krein-Rutman theoremsigma-convergencedeterministic homogenization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotics of solutions to integral equations (45M05) Transport processes in time-dependent statistical mechanics (82C70) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Radiative transfer in astronomy and astrophysics (85A25) Boltzmann equations (35Q20)

Related Items (1)

Lagrange multiplier and variational equations in mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized Besicovitch spaces and applications to deterministic homogenization
• Reiterated ergodic algebras and applications
• Homogenization of nonlinear degenerate non-monotone elliptic operators in domains perforated with tiny holes
• Averaging of singularly perturbed elliptic operators
• Halbgeordnete lokalkonvexe Vektorräume. II
• Homogenization structures and applications. I
• Homogenization in algebras with mean value
• The diffusion approximation for the linear Boltzmann equation with vanishing scattering coefficient
• Introverted algebras with mean value and applications
• Simultaneous diffusion and homogenization asymptotic for the linear Boltzmann equation
• Homogenization of the Linear Boltzmann Equation in a Domain with a Periodic Distribution of Holes
• Linear Operators in Complete Positive Cones
• DIFFUSION AND HOMOGENIZATION APPROXIMATION FOR SEMICONDUCTOR BOLTZMANN–POISSON SYSTEM
• Homogenization and Diffusion Asymptotics of the Linear Boltzmann Equation
• The two-scale convergence method applied to generalized Besicovitch spaces
• Diffusion Approximation and Computation of the Critical Size
• Deterministic homogenization of Vlasov equations
• Diffusion Approximation and Homogenization of the Semiconductor Boltzmann Equation

This page was built for publication: Homogenization of linear Boltzmann equations in the context of algebras with mean value