Time-asymptotic interactions of Boltzmann shock layers in the presence of boundary Wen-Ching LienShih-Hsien Yu 35Q76Pshock wavesboundary layersBoltzmann equationenergy estimates 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 corresponding 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. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3262 10.1512/iumj.2008.57.3262 en Indiana Univ. Math. J. 57 (2008) 1501 - 1556 state-of-the-art mathematics http://iumj.org/access/