SOME REMARKS ON AFFINE EVOLUTION EQUATIONS WITH APPLICATIONS TO PARTICLE TRANSPORT THEORY

DOI10.1142/S0218202500000458zbMath1020.34050OpenAlexW2113193690MaRDI QIDQ4798821

Luigi Barletti

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202500000458

zbMATH Keywords

particle transport theoryaffine evolution equations

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70) Linear differential equations in abstract spaces (34G10)

Related Items (6)

A Mathematical Walk into the Paradox of Bloch Oscillations ⋮ Analysis of a non-linear model of populations structured by size ⋮ An analysis of the Wigner-Poisson problem with inflow boundary conditions ⋮ Applications of B-bounded nonlinear semigroups to particle transport problems ⋮ The Chapman -- Enskog procedure for an age-structured population model: initial, boundary and corner layer corrections ⋮ On the three-dimensional Wigner--Poisson problem with inflow boundary conditions

Cites Work

• Energy and radiation transfer in a finite convex body with general boundary conditions
• Abstract time-dependent transport equations
• 3D-streaming operator with multiplying boundary conditions: Semigroup generation properties
• Time dependent photon transport in a three dimensional interstellar cloud with stochastic clumps
• A particle transport problem with non-homogeneous reflection boundary conditions
• Nonhomogeneous boundary conditions in neutron transport
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

This page was built for publication: SOME REMARKS ON AFFINE EVOLUTION EQUATIONS WITH APPLICATIONS TO PARTICLE TRANSPORT THEORY