Solitonic solutions for the generalized two-velocity Boltzmann equation |
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| Institution: | 1. Centro Universitario de Defensa (CUD), Academia General Militar (AGM), Zaragoza, Spain;2. Centro de Investigación Biomédica en Red Bioingeniería, Biomateriales y Nanomedicina (CIBER-BBN), Madrid, Spain;3. BSICoS Group, Aragón Institute of Engineering Research (I3A), IIS Aragón, University of Zaragoza, Zaragoza, Spain;4. Department of Biomedical Engineering, University of Connecticut, Storrs CT, USA;1. School of Engineering, University de Mar del Plata, Av. Juan B. Justo 4302, 7600 Mar del Plata, Argentina;2. Polymer Science and Engineering Group, Institute of Materials Science and Technology (INTEMA), University of Mar Del Plata - CONICET, Av. Colon 10850, 7600 Mar Del Plata, Argentina;3. AMPACET Latin America, Buenos Aires, Argentina |
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| Abstract: | We obtain solitonic solutions for an inhomogeneous model Boltzmann equation which describes a two velocity one-dimensional gas diffusing in a background when remotion and regeneration processes are allowed. These solutions are obtained as a series expansion in the similarity variable, whose coefficients can be exactly found within a recursive scheme. The solitons describe a shape-preserving distribution function which approaches a stationary value as time elapses. The particular case in which remotion and regeneration events are neglected can be solved in a closed form. |
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