Ellipsoidal BGK model near a global Maxwellian in the whole space

DOI10.1063/1.5017899zbMath1418.76049OpenAlexW2959022419MaRDI QIDQ5228045

Publication date: 8 August 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5017899

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Navier-Stokes equations (35Q30) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (2)

Entropy production estimate for the ES-BGK model with the correct Prandtl number ⋮ Propagation of \(L^p\) estimates for the spatially homogeneous relativistic Boltzmann equation

Cites Work

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A BGK relaxation model for polyatomic gas mixtures
Entropy production estimates for the polyatomic ellipsoidal BGK model
Assessment of the ellipsoidal-statistical Bhatnagar-Gross-Krook model for force-driven Poiseuille flows
On the ellipsoidal statistical model for polyatomic gases
Classical solutions for the ellipsoidal BGK model with fixed collision frequency
Entropy production for ellipsoidal BGK model of the Boltzmann equation
Energy method for Boltzmann equation
On the Cauchy problem of the Vlasov-Poisson-BGK system: global existence of weak solutions
Optimal convergence rates of classical solutions for Vlasov-Poisson-Boltzmann system
An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation
Optimal time decay of the Vlasov-Poisson-Boltzmann system in \({\mathbb R^3}\)
Fractional diffusion limit for collisional kinetic equations
Global existence to the BGK model of Boltzmann equation
The Vlasov-Maxwell-Boltzmann system in the whole space
A new approach for the ellipsoidal statistical model
A combination of energy method and spectral analysis for study of equations of gas motion
The Boltzmann equation and its applications
Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model
The mathematical theory of dilute gases
The BGK-model with velocity-dependent collision frequency
The Vlasov-Maxwell-Boltzmann system near Maxwellians
A consistent BGK-type model for gas mixtures
Existence, uniqueness and positivity of solutions for BGK models for mixtures
On a positive decomposition of entropy production functional for the polyatomic BGK model
Cauchy problem for the ellipsoidal BGK model for polyatomic particles
Ellipsoidal BGK model for polyatomic molecules near Maxwellians: a dichotomy in the dissipation estimate
Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases
Uniqueness for the BGK-equation in \(\mathbb{R}^ N\) and rate of convergence for a semi-discrete scheme
Derivation of a BGK model for mixtures
Hypocoercivity of the relativistic Boltzmann and Landau equations in the whole space
Optimal decay estimates on the linearized Boltzmann equation with time dependent force and their applications
Implicit-explicit schemes for BGK kinetic equations
Cauchy problem for the ellipsoidal-BGK model of the Boltzmann equation
Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation
Fractional diffusion limit for collisional kinetic equations: A moments method
Optimal large-time behavior of the Vlasov-Maxwell-Boltzmann system in the whole space
Hypocoercivity of linear degenerately dissipative kinetic equations
The Boltzmann equation and thirteen moments
L p solutions to the Cauchy problem of the BGK equation
Numerical comparison of Bhatnagar–Gross–Krook models with proper Prandtl number
Ellipsoidal statistical Bhatnagar–Gross–Krook model with velocity-dependent collision frequency
On the existence of global solutions of mixed problem for non-linear Boltzmann equation
Stationary solutions of the BGK model equation on a finite interval with large boundary data
From the BGK model to the Navier–Stokes equations
DISCRETE TIME NAVIER-STOKES LIMIT FOR THE BGK BOLTZMANN EQUATION
The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
The Vlasov‐Poisson‐Boltzmann system near Maxwellians
Global Existence and Large-Time Behavior for BGK Model for a Gas with Non-constant Cross Section
The Boltzmann equation in the whole space
Decay of Dissipative Equations and Negative Sobolev Spaces
Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
Ellipsoidal BGK Model Near a Global Maxwellian
Convergence of a Weighted Particle Method for Solving the Boltzmann (B.G.K) Equation
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

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