L stability estimate for a one-dimensional Boltzmann equation with inelastic collisions |
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Authors: | Seung-Yeal Ha |
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Institution: | Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA |
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Abstract: | In this paper, we study the L1 stability of a one-dimensional Boltzmann equation on the line with inelastic collisions in Rend. Sem. Mat. Fis. Milano 67 (1997) 169-179. Under the suitable assumptions on the initial data, we construct a nonlinear functional which measures L1 distance between two mild solutions, and is nonincreasing in time t. Using the time-decay estimate of , we show that mild solutions are L1-stable: |
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