Spatial behavior of the solution to the linearized Boltzmann equation with hard potentials

DOI10.1063/1.5124930zbMath1434.76110OpenAlexW3007397480MaRDI QIDQ5110730

Yu-Chu Lin, Haitao Wang, Kung-Chien Wu

Publication date: 22 May 2020

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

Full work available at URL: https://doi.org/10.1063/1.5124930

zbMATH Keywords

weight functionkinetic theoryfluid mechanicsspectral methodsoperator theoryBoltzmann type integro differential equationGreen-functions technique

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Spectral methods applied to problems in fluid mechanics (76M22) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (4)

Space-time behavior of the solution to the Boltzmann equation with soft potentials ⋮ Propagation phenomena of the solution for the relativistic BGK model ⋮ Mixture estimate in fractional sense and its application to the well-posedness of the Boltzmann equation with very soft potential ⋮ Finite speed of propagation of the relativistic Landau and Boltzmann equations

Cites Work

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• Energy method for Boltzmann equation
• The Boltzmann equation near Maxwellian in the whole space
• Quantitative pointwise estimate of the solution of the linearized Boltzmann equation
• Large-time behavior of solutions for the Boltzmann equation with hard potentials
• The Boltzmann equation with a soft potential. I: Linear, spatially- homogeneous
• Boltzmann equation: micro-macro decompositions and positivity of shock profiles
• The first and second fluid approximation to the linearized Boltzmann equation
• Optimal time decay of the non cut-off Boltzmann equation in the whole space
• 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
• Exponential decay for soft potentials near Maxwellian
• Wave propagation for the compressible Navier–Stokes equations
• Hypocoercivity of linear degenerately dissipative kinetic equations
• The Boltzmann equation and thirteen moments
• The milne and kramers problems for the boltzmann equation of a hard sphere gas
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• Pointwise convergence to shock waves for viscous conservation laws
• Solving the non-isentropic Navier-Stokes equations in odd space dimensions: The Green function method
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation
• EXISTENCE OF BOUNDARY LAYER SOLUTIONS TO THE BOLTZMANN EQUATION
• Stationary solutions of the linearized Boltzmann equation in a half‐space
• The Boltzmann equation in the whole space
• Pointwise Behavior of the Linearized Boltzmann Equation on a Torus

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