Entropic approximation in kinetic theory
From MaRDI portal
Publication:5315470
DOI10.1051/m2an:2004025zbMath1084.82010OpenAlexW2137331932MaRDI QIDQ5315470
Publication date: 8 September 2005
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=M2AN_2004__38_3_541_0
Related Items (29)
A neural network closure for the Euler-Poisson system based on kinetic simulations ⋮ The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections ⋮ A positive and stable L2-minimization based moment method for the Boltzmann equation of gas dynamics ⋮ Towards realizable hyperbolic moment closures for viscous heat-conducting gas flows based on a maximum-entropy distribution ⋮ Optimization and large scale computation of an entropy-based moment closure ⋮ Moment closure approximations of the Boltzmann equation based on \(\varphi \)-divergences ⋮ On the Five-Moment Maximum Entropy System of One-Dimensional Boltzmann Equation ⋮ A Comparison of Moment Closures for Linear Kinetic Transport Equations: The Line Source Benchmark ⋮ Entropy bounds for the space-time discontinuous Galerkin finite element moment method applied to the BGK-Boltzmann equation ⋮ Adaptive change of basis in entropy-based moment closures for linear kinetic equations ⋮ Moment systems derived from relativistic kinetic equations ⋮ A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer ⋮ General moment system for plasma physics based on minimum entropy principle ⋮ A BGK model for gas mixtures ⋮ On the ellipsoidal statistical model for polyatomic gases ⋮ Some recent advances on the method of moments in kinetic theory ⋮ Derivation of a BGK model for mixtures ⋮ Angular moments models for rarefied gas dynamics. Numerical comparisons with kinetic and Navier-Stokes equations ⋮ The $M_1$ Angular Moments Model in a Velocity-Adaptive Frame for Rarefied Gas Dynamics Applications ⋮ Moment methods for the radiative transfer equation based on \(\varphi\)-divergences ⋮ General entropic approximations for canonical systems described by kinetic equations ⋮ An approximation of the \(M_2\) closure: application to radiotherapy dose simulation ⋮ A moment closure based on a projection on the boundary of the realizability domain: 1D case ⋮ A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy ⋮ Towards physically realizable and hyperbolic moment closures for kinetic theory ⋮ Hausdorff moment problem and maximum entropy: on the existence conditions ⋮ A new approach for the ellipsoidal statistical model ⋮ A Regularized Entropy-Based Moment Method for Kinetic Equations ⋮ A moment closure based on a projection on the boundary of the realizability domain: extension and analysis
Cites Work
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- I-divergence geometry of probability distributions and minimization problems
- Fisher information estimates for Boltzmann's collision operator
- Moment closure hierarchies for kinetic theories.
- Domain of definition of Levermore's five-moment system
- An entropy satisfying MUSCL scheme for systems of conservation laws
- On the Boltzmann equation. I: Existence
- DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
- A direct method for solving the Boltzmann equation
- MAXIMUM ENTROPY FOR REDUCED MOMENT PROBLEMS
- The Boltzmann equation in the kinetic theory of gases
- On the kinetic theory of rarefied gases
- The Gaussian-BGK model of Boltzmann equation with small Prandtl number
This page was built for publication: Entropic approximation in kinetic theory
