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

• A fully non-linear kinetic Boltzmann equation for anyons is studied in a periodic 1d setting with large initial data. Strong L1 solutions are obtained for the Cauchy problem. The main results concern global existence, uniqueness, conservation of mass, momentum and energy, and stability.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

anyon

Haldane statistics

low temperature kinetic theory

quantum Boltzmann equation

quantum Boltzmann equation

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