A non-trivial explicit solution for the 14-velocity Cabannes kinetic model |
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Authors: | Filipe Oliveira Ana Jacinta Soares |
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Institution: | 1. Centro de Matemática e Aplicações, FCT–Universidade Nova de Lisboa, Portugal;2. Centro de Matemática, Universidade de Minho, Braga, Portugal |
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Abstract: | We study the shock wave problem for the Cabannes 14-velocity model of the Boltzmann equation in one space dimension (x-axis) and obtain a non-trivial explicit solution which asymptotically connects two particular Maxwellian states. We prove that such a solution exists provided that a suitable condition on the differential elastic cross sections hold. |
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Keywords: | 76P05 74J40 35L50 |
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