Scaling limits for the Ruijgrok-Wu model of the Boltzmann equation

DOI10.1002/mma.251zbMath1100.82519OpenAlexW2128787979WikidataQ60502937 ScholiaQ60502937MaRDI QIDQ2761857

Ester Gabetta, Perthame, Benoît

Publication date: 6 February 2003

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

Full work available at URL: https://doi.org/10.1002/mma.251

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (8)

Fluid-dynamic limit for the Ruijgrok--Wu model of the Boltzmann equation ⋮ Local versus nonlocal barycentric interactions in 1D agent dynamics ⋮ A Unified IMEX Runge--Kutta Approach for Hyperbolic Systems with Multiscale Relaxation ⋮ Implicit-Explicit Multistep Methods for Hyperbolic Systems With Multiscale Relaxation ⋮ Connection between an exactly solvable stochastic optimal control problem and a nonlinear reaction-diffusion equation ⋮ Asymptotic-preserving and well-balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes ⋮ Convergence of a splitting scheme applied to the Ruijgrok-Wu model of the Boltzmann equation ⋮ An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations

Cites Work

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• Hyperbolic conservation laws with relaxation
• Diffusive limit for finite velocity Boltzmann kinetic models
• Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• Kruzkov’s estimates for scalar conservation laws revisited
• Hyperbolic conservation laws with stiff relaxation terms and entropy
• Diffusive BGK approximations for nonlinear multidimensional parabolic equations
• The partial differential equation u_t + uu_x = μ_xx

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