Acoustic limit for the Boltzmann equation in optimal scaling
From MaRDI portal
Publication:3406733
DOI10.1002/cpa.20308zbMath1187.35149arXiv0901.2290OpenAlexW2102654594MaRDI QIDQ3406733
Yan Guo, Ning Jiang, Juhi Jang
Publication date: 19 February 2010
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.2290
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) A priori estimates in context of PDEs (35B45) Hydro- and aero-acoustics (76Q05) Boltzmann equations (35Q20)
Related Items
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm's law: convergence for classical solutions ⋮ Incompressible Euler limit from Boltzmann equation with diffuse boundary condition for analytic data ⋮ Hydrodynamic Limit of 3dimensional Evolutionary Boltzmann Equation in Convex Domains ⋮ Stationary solutions to the Boltzmann equation in the hydrodynamic limit ⋮ Non-isothermal boundary in the Boltzmann theory and Fourier law ⋮ Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation ⋮ Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system ⋮ Hydrodynamic limit of Boltzmann equations for gas mixture ⋮ Convergence from the two-species Vlasov-Poisson-Boltzmann system to the two-fluid incompressible Navier-Stokes-Fourier-Poisson system with Ohm's law ⋮ Global renormalized solutions and Navier-Stokes limit of the Boltzmann equation with incoming boundary condition for long range interaction ⋮ Global Euler–Poisson Limit to the Vlasov–Poisson–Boltzmann System with Soft Potential ⋮ Stationary non equilibrium states in kinetic theory ⋮ The Euler Limit of the Relativistic Boltzmann Equation ⋮ Passage from the Boltzmann equation with diffuse boundary to the incompressible Euler equation with heat convection ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ The compressible Euler and acoustic limits from quantum Boltzmann equation with Fermi-Dirac statistics ⋮ Compressible Navier-Stokes approximation to the Boltzmann equation ⋮ Incompressible Navier-Stokes-Fourier Limit from The Boltzmann Equation: Classical Solutions ⋮ Stability and Unstability of the Standing Wave to Euler Equations ⋮ Hydrodynamic limit of a kinetic gas flow past an obstacle ⋮ Decay and continuity of the Boltzmann equation in bounded domains ⋮ Global Hilbert expansion for the relativistic Vlasov-Maxwell-Boltzmann system ⋮ Hypocoercivity Based Sensitivity Analysis and Spectral Convergence of the Stochastic Galerkin Approximation to Collisional Kinetic Equations with Multiple Scales and Random Inputs ⋮ Global Hilbert expansion for the Vlasov-Poisson-Boltzmann system ⋮ Hilbert expansion of the Boltzmann equation with specular boundary condition in half-space ⋮ Global solutions to the compressible Euler equations with heat transport by convection around Dyson's isothermal affine solutions ⋮ Hydrodynamic Limit of the Boltzmann Equation to the Planar Rarefaction Wave in Three Dimensional Space ⋮ The incompressible Navier-Stokes-Fourier limit from Boltzmann-Fermi-Dirac equation ⋮ Diffusive limit for a Boltzmann-like equation with non-conserved momentum ⋮ Incompressible Euler limit of the Boltzmann equation in the whole space and a periodic box ⋮ A note on acoustic limit for the Boltzmann equation ⋮ Convergence from two-species Vlasov-Poisson-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Poisson system ⋮ The Boltzmann Equation in Bounded Domains ⋮ Global Strong Solution and Incompressible Navier--Stokes--Fourier--Poisson Limit of the Vlasov--Poisson--Boltzmann System
Cites Work
- Unnamed Item
- Compressible fluid flow and systems of conservation laws in several space variables
- On the Cauchy problem for Boltzmann equations: Global existence and weak stability
- The incompressible Navier-Stokes limit of the Boltzmann equation for hard cutoff potentials
- Acoustic limit of the Boltzmann equation: classical solutions
- Local Hilbert expansion for the Boltzmann equation
- Formation of singularities in three-dimensional compressible fluids
- On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
- The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
- Convergence of solutions to the Boltzmann equation in the incompressible Euler limit
- The acoustic limit for the Boltzmann equation
- Exponential decay for soft potentials near Maxwellian
- Incompressible navier-stokes and euler limits of the boltzmann equation
- On the initial layer and the existence theorem for the nonlinear Boltzmann equation
- The fluid dynamic limit of the nonlinear boltzmann equation
- THE CLASSICAL INCOMPRESSIBLE NAVIER-STOKES LIMIT OF THE BOLTZMANN EQUATION
- Fluid dynamic limits of kinetic equations II convergence proofs for the boltzmann equation
- Stokes-Fourier and acoustic limits for the Boltzmann equation: Convergence proofs
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- Remarks on the Acoustic Limit for the Boltzmann Equation
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
- Symmetric hyperbolic linear differential equations