Acoustic limit for the Boltzmann equation in the whole space

DOI10.1016/j.jmaa.2009.12.015zbMath1194.35299OpenAlexW2011629169MaRDI QIDQ961072

Shuangqian Liu

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.015

zbMATH Keywords

Cauchy problemBoltzmann equationLandau equationacoustic limit

Mathematics Subject Classification ID

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

Stability of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction, Exponential decay of the Landau equation with potential forces

Cites Work

• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Acoustic limit of the Boltzmann equation: classical solutions
• The mathematical theory of dilute gases
• The Vlasov-Maxwell-Boltzmann system near Maxwellians
• The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels
• The acoustic limit for the Boltzmann equation
• The Landau equation in a periodic box
• The fluid dynamic limit of the nonlinear boltzmann equation
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• 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
• The Boltzmann equation in the whole space
• On the Cauchy problem of the Boltzmann and Landau equations with soft potentials
• Boltzmann diffusive limit beyond the Navier‐Stokes approximation