Sommario
Si propone un modello semidiscreto piano dell'equazione di Boltzmann per una miscela binaria con collisioni molecolari soggette al potenziale di interazione delle ≪sfere rigide≫. Costruito il modello, si dà un teorema di esistenza globale di soluzioni generalizzate per il problema di Cauchy, e si analizza la propagazione di onde d'urto unidimensionali.
Summary
A plane semidiscrete model of the Boltzmann equation for a binary gas mixture with molecular collisions ruled by the ≪hard-spheres≫ interaction potential is described. After establishing a model, a theorem demostrating the global existence of mild solutions of the initial-value problem is given and the propagation of unidimensional shock waves examined.
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Monaco, R., Toscani, G. New results on the semidiscrete Boltzmann equation for a binary gas mixture. Meccanica 22, 179–184 (1987). https://doi.org/10.1007/BF01573810
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DOI: https://doi.org/10.1007/BF01573810