On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation

• © 2017 International Press. This paper studies a Boltzmann Nordheim equation in a slab with two-dimensional velocity space and pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem with large initial data in an L 1 ∩ L ∞ setting. The main results are existence, uniqueness and stability of solutions conserving mass, momentum and energy that explode in L ∞ if they are only local in time. The solutions are obtained as limits of solutions to corresponding anyon equations.

Ämnesord

TEKNIK OCH TEKNOLOGIER  -- Nanoteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Nano-technology (hsv//eng)

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Bosonic Boltzmann-Nordheim equation

Low temperature kinetic theory

Quantum Boltzmann equation

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