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arxiv: 1406.0265 · v2 · pith:VALSYGNQnew · submitted 2014-06-02 · 🧮 math-ph · cond-mat.quant-gas· math.MP

Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation

classification 🧮 math-ph cond-mat.quant-gasmath.MP
keywords boltzmanncauchyequationproblemanyonanyonsconcerndata
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A fully non-linear kinetic Boltzmann equation for anyons and large initial data is studied in a periodic 1d setting. Strong L1 solutions are obtained for the Cauchy problem. The main results concern global existence, uniqueness, and stability.

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