THE GREEN'S FUNCTION FOR THE BROADWELL MODEL WITH A TRANSONIC BOUNDARY

DOI10.1142/S0219891608001489zbMath1152.35016OpenAlexW2079381807MaRDI QIDQ3520498

Huey-Er Lin, Shih-Hsien Yu, Chiu-Ya Lan

Publication date: 26 August 2008

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891608001489

zbMATH Keywords

iteration schemeinitial boundary value problem

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (4)

Boundary layers and shock profiles for the Broadwell model ⋮ Pointwise wave behavior of the Navier-Stokes equations in half space ⋮ Characteristic half space problem for the Broadwell model ⋮ NONLINEAR STABILITY OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE BROADWELL MODEL AROUND A MAXWELLIAN

Cites Work

• The Green's functions for the Broadwell model in a half space problem
• Nonlinear boundary layers of the Boltzmann equation. I: Existence
• Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation
• The fluid dynamic limit of the nonlinear boltzmann equation
• The fluid-dynamical limit of a nonlinear model boltzmann equation
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation

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