NONLINEAR STABILITY OF THE INITIAL-BOUNDARY VALUE PROBLEM FOR THE BROADWELL MODEL AROUND A MAXWELLIAN

DOI10.1142/S0219891611002354zbMath1227.82062OpenAlexW2060295190MaRDI QIDQ3004764

Huey-Er Lin

Publication date: 3 June 2011

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

Full work available at URL: https://doi.org/10.1142/s0219891611002354

zbMATH Keywords

convergenceGreen's functionnonlinear stabilitydistribution functionkinetic theorylocal equilibriumBroadwell modelPicard-like iterations

Mathematics Subject Classification ID

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (1)

Boundary layers and shock profiles for the Broadwell model

Cites Work

• The Green's functions for the Broadwell model in a half space problem
• Stationary waves for the discrete Boltzmann equation in the half-space with reflective boundaries
• Existence of a stationary wave for the discrete Boltzmann equation in the half space
• The Broadwell model with a subsonic boundary
• Pointwise convergence to a Maxwellian for a Broadwell model with a supersonic boundary
• Initial-boundary value problem for one-dimensional wave solutions of the Boltzmann equation
• THE GREEN'S FUNCTION FOR THE BROADWELL MODEL WITH A TRANSONIC BOUNDARY
• The fluid dynamic limit of the nonlinear boltzmann equation
• The fluid-dynamical limit of a nonlinear model boltzmann equation
• Pointwise convergence to shock waves for viscous conservation laws
• The Green's function and large-time behavior of solutions for the one-dimensional Boltzmann equation

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