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|Title:||Broadwell Model and Conservative Supersonic Boundary||Authors:||Deng, S.
|Issue Date:||Apr-2011||Citation:||Deng, S., Wang, W., Yu, S.-H. (2011-04). Broadwell Model and Conservative Supersonic Boundary. Archive for Rational Mechanics and Analysis 200 (1) : 203-223. ScholarBank@NUS Repository. https://doi.org/10.1007/s00205-010-0344-4||Abstract:||In this paper, we consider an initial-boundary value problem for the Broadwell model with a supersonic physical boundary. Here, we pose a conservative boundary condition which preserves the total number of particles. We show that the solution converges pointwise to a boundary layer exponentially, when the perturbations of the initial data to the equilibrium state are sufficiently small, by using Green's function as established in Lan et al. (Netw Heterog Media 1:167-183, 2006), weighted energy estimates and by constructing a pair of anti-derivatives to convert the conservative boundary condition into a dissipative boundary condition with conservation laws together with an a priori chosen boundary layer. © 2010 Springer-Verlag.||Source Title:||Archive for Rational Mechanics and Analysis||URI:||http://scholarbank.nus.edu.sg/handle/10635/102955||ISSN:||00039527||DOI:||10.1007/s00205-010-0344-4|
|Appears in Collections:||Staff Publications|
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