A generation theorem for kinetic equations with non-contractive boundary operators.
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Publication:1851434
DOI10.1016/S1631-073X(02)02533-5zbMath1046.47039MaRDI QIDQ1851434
Publication date: 2002
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
particle transportproliferating cell populationsabstract kinetic theoryadvection operatornon-contractive boundary conditions
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
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