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A Markov Process associated to the noncutoff Boltzmann Equation

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If you have a question about this talk, please contact Perla Sousi .

We consider the stochastic model of an $N$-particle gas due to Kac, introduced as a proxy to the Boltzmann equation, in the case where the intermolecular forces are long-range `hard potentials’. In this case, there is an abundance of grazing collisions: the Markov process is a jump process of constant activity. We introduce a coupling of the $N$-particle Kac processes, and show how this leads to uniqueness and stability for the Boltzmann equation and a law of large numbers.

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FW11, William Gates Building. Zoom link: https://cl-cam-ac-uk.zoom.us/j/4361570789?pwd=Nkl2T3ZLaTZwRm05bzRTOUUxY3Q4QT09&from=addon Pantom Arms Pub, 43 Panton St, Cambridge CB2 1HL Seminar Room, Department of Geography, Downing Site

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