Entropy-based mixed three-moment description of fermionic radiation transport in slab and spherical geometries
DOI10.3934/krm.2017035zbMath1357.85003OpenAlexW2591923150MaRDI QIDQ516256
Wieslaw Larecki, Zbigniew Banach
Publication date: 14 March 2017
Published in: Kinetic and Related Models (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/krm.2017035
entropy optimization problemfermionic radiationmixed momentsmoment realizability domainsymmetric hyperbolicity
Kinetic theory of gases in time-dependent statistical mechanics (82C40) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Measures of information, entropy (94A17) Radiative transfer in astronomy and astrophysics (85A25) First-order hyperbolic systems (35L40) PDEs in connection with control and optimization (35Q93)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximating the \(M_2\) method by the extended quadrature method of moments for radiative transfer in slab geometry
- Radiation transport modeling using extended quadrature method of moments
- A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension
- High-order entropy-based closures for linear transport in slab geometry
- Kershaw closures for linear transport equations in slab geometry. I: Model derivation
- Partial moment entropy approximation to radiative heat transfer
- A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry
- Half-moment closure for radiative transfer equations
- Properties and frequential hybridisation of the multigroup \(M1\) model for radiative transfer
- Moment closure hierarchies for kinetic theories.
- An application of Hayashi's inequality for differentiable functions
- Multigroup half space moment approximations to the radiative heat transfer equations
- A 3-D multiband closure for radiation and neutron transfer moment models
- Spectral maximum entropy hydrodynamics of fermionic radiation: a three-moment system for one-dimensional flows
- One-dimensional maximum entropy radiation hydrodynamics: three-moment theory
- Higher Order Mixed-Moment Approximations for the Fokker--Planck Equation in One Space Dimension
- Two-field radiation hydrodynamics innspatial dimensions
- High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
- Maximum entropy and feasibility methods for convex and nonconvex inverse problems
- A Fast and Accurate Moment Method for the Fokker–Planck Equation and Applications to Electron Radiotherapy
- Duality Relationships for Entropy-Like Minimization Problems
- A half space moment approximation to the radiative heat transfer equations
- Uniform convergence for moment problems with Fermi-Dirac type entropies
- A HIERARCHY OF APPROXIMATIONS TO THE RADIATIVE HEAT TRANSFER EQUATIONS: MODELLING, ANALYSIS AND SIMULATION
- Systems of Conservation Equations with a Convex Extension
