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TOPIC: Boltzmann equation problem

Blobrana

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Posts: 131433

Date: May 14 19:34 2010

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Mathematicians Solve 140-Year-Old Boltzmann Equation Two University of Pennsylvania mathematicians have found solutions to a 140-year-old, 7-dimensional equation that were not known to exist for more than a century despite its widespread use in modelling the behaviour of gases. The study, part historical journey but mostly mathematical proof, was conducted by Philip T. Gressman and Robert M. Strain of Penn's Department of Mathematics. The solution of the Boltzmann equation problem was published in the Proceedings of the National Academy of Sciences. Solutions of this equation, beyond current computational capabilities, describe the location of gas molecules probabilistically and predict the likelihood that a molecule will reside at any particular location and have a particular momentum at any given time in the future. Read more __________________

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