Entropy production estimate for the ES-BGK model with the correct Prandtl number

DOI10.1016/j.jmaa.2022.126323OpenAlexW3158061149MaRDI QIDQ2147813

Myeong-Su Lee, Doheon Kim, Seok-Bae Yun

Publication date: 20 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.14328

zbMATH Keywords

Boltzmann equationkinetic theory of gasesentropy production estimateESBGK model

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Rarefied gas flows, Boltzmann equation in fluid mechanics (76Pxx)

Related Items (2)

The ES-BGK for the polyatomic molecules with infinite energy ⋮ The Shakhov model near a global Maxwellian

Cites Work

• Unnamed Item
• Entropy production estimates for the polyatomic ellipsoidal BGK model
• Stationary solutions for the ellipsoidal BGK model in a slab
• Assessment of the ellipsoidal-statistical Bhatnagar-Gross-Krook model for force-driven Poiseuille flows
• Classical solutions for the ellipsoidal BGK model with fixed collision frequency
• Entropy production for ellipsoidal BGK model of the Boltzmann equation
• An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation
• A new approach for the ellipsoidal statistical model
• Entropy dissipation and moment production for the Boltzmann equation
• Kinetic ES-BGK models for a multi-component gas mixture
• Cauchy problem for the ellipsoidal BGK model for polyatomic particles
• Ellipsoidal BGK model for polyatomic molecules near Maxwellians: a dichotomy in the dissipation estimate
• Smooth solutions to the BGK equation and the ES-BGK equation with infinite energy
• On the rate of entropy production for the Boltzmann equation
• Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases
• Cercignani's conjecture is sometimes true and always almost true
• Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces
• On the entropic property of the ellipsoidal statistical model with the Prandtl number below 2/3
• An ellipsoidal statistical model for gas mixtures
• A kinetic model for a polyatomic gas with temperature-dependent specific heats and its application to Shock-wave structure
• Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation
• L p solutions to the Cauchy problem of the BGK equation
• Numerical comparison of Bhatnagar–Gross–Krook models with proper Prandtl number
• Convergence of a Semi-Lagrangian Scheme for the Ellipsoidal BGK Model of the Boltzmann Equation
• Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
• A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
• Ellipsoidal BGK model near a global Maxwellian in the whole space
• Ellipsoidal BGK Model Near a Global Maxwellian
• Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• The Gaussian-BGK model of Boltzmann equation with small Prandtl number

This page was built for publication: Entropy production estimate for the ES-BGK model with the correct Prandtl number