Please use this identifier to cite or link to this item: https://doi.org/10.1512/iumj.2008.57.3262
Title: Time-asymptotic interactions of Boltzmann shock layers in the presence of boundary
Authors: Lien, W.-C.
Yu, S.-H. 
Keywords: Boltzmann equation
Boundary layers
Energy estimates
Shock waves
Issue Date: 2008
Citation: Lien, W.-C., Yu, S.-H. (2008). Time-asymptotic interactions of Boltzmann shock layers in the presence of boundary. Indiana University Mathematics Journal 57 (4) : 1501-1556. ScholarBank@NUS Repository. https://doi.org/10.1512/iumj.2008.57.3262
Abstract: We study the time-asymptotic behavior of the Boltzmann shock layers with a given physical boundary in a half-space. As boundary conditions, we prescribe a Maxwellian at the far field and require a specular reflection at the wall x = 0. When the macroscopic velocity at the far field is negative, we prove that if the initial data are suitably chosen, then a solution exists globally in time and tends toward the correspond-ing outgoing Boltzmann shock profile as time goes to infinity. The proof is essentially based on the macro-micro decomposition of solutions and the elementary energy methods.
Source Title: Indiana University Mathematics Journal
URI: http://scholarbank.nus.edu.sg/handle/10635/104382
ISSN: 00222518
DOI: 10.1512/iumj.2008.57.3262
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