Positive similarity solutions for a discrete velocity boltzman coagulation-fragmentation model |
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Authors: | H. Cornille M. Iklé |
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Affiliation: | (1) Service de Physique théorique, CE Saclay, F-91191 Gif-sur-Yvette, France;(2) Department of Mathematics, University of Nevada, 89154 Las Vegas, NV, USA |
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Abstract: | We consider the coagulation-fragmentation model of Slemrod and coworkers which is essentially the two-dimensional Broadwell model including inelastic collisions. We construct two classes of similarity solutions (variable =x -t), positive for (- , ): the Rankine-Hugoniot solutions and the scalar Riccati similarity solutions. Previous solutions were built up with positivity along half of thex-axis. For the two classes, we determine in the parameter space, building up the solutions, domains corresponding to positive solutions. |
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Keywords: | 70F35 |
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