A generation theorem for kinetic equations with non-contractive boundary operators.

DOI10.1016/S1631-073X(02)02533-5zbMath1046.47039MaRDI QIDQ1851434

Bertrand Lods

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

particle transportproliferating cell populationsabstract kinetic theoryadvection operatornon-contractive boundary conditions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Medical applications (general) (92C50) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (7)

New Results in Abstract Time-Dependent Transport Equations ⋮ Some compactness and interpolation results for linear Boltzmann equation ⋮ On The Spectrum of Absorption Operators With Maxwell Boundary Conditions Arising in Population Dynamics and Transport Theory. A Unified Treatment ⋮ Semigroup generation properties of streaming operators with noncontractive boundary conditions ⋮ New results for neutronic equations. II ⋮ Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions ⋮ Existence and BV-Regularity for Neutron Transport Equation in NonConvex Domain

Cites Work

• Positive one-parameter semigroups on ordered Banach spaces
• A model of proliferating cell populations with inherited cycle length
• Boundary value problems in abstract kinetic theory
• Streaming operators and semigroups
• Spectral analysis and generation results for streaming operators with multiplying boundary conditions
• The mathematical theory of dilute gases
• On the theory of a growing cell population with zero minimum cycle length
• Global existence of solutions for a model Boltzmann equation
• TIME–DEPENDENT KINETIC EQUATIONS WITH COLLISION TERMS RELATIVELY BOUNDED WITH RESPECT TO THE COLLISION FREQUENCY
• Le transport neutronique avec des conditions aux limites générales

This page was built for publication: A generation theorem for kinetic equations with non-contractive boundary operators.