@article{cdad99ad31d14d46833e7c27da1f2db9,
title = "Nonlinear stability of the initial-boundary value problem for the broadwell model around a Maxwellian",
abstract = "We study the nonlinear stability of the equilibrium state associated with the initial boundary value problem for the Broadwell model with transonic boundary. Based on the Green's function of this linearized initial boundary value problem and on the understanding of its action on microscopic data, we establish the pointwise convergence of the solution toward the equilibrium state under small perturbation, via a solution representation and Picard-like iterations.",
keywords = "Green's function, Initial boundary value problem, nonlinear stability",
author = "Lin, {Huey Er}",
note = "Funding Information: The author would like to thank Professor Tai-Ping Liu and Professor Shih-Hsien Yu for the valuable discussions and suggestions and the referees for the constructive suggestions. The research of the author is supported by NSC 99-2115-M-003-002.",
year = "2011",
month = mar,
doi = "10.1142/S0219891611002354",
language = "English",
volume = "8",
pages = "131--157",
journal = "Journal of Hyperbolic Differential Equations",
issn = "0219-8916",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",
}