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4 papers · 2 filters
Well-posedness of the Cauchy problem for a space-dependent anyon Boltzmann equation
L. Arkeryd, A. Nouri
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 ma…
Two-component equations modelling water waves with constant vorticity
Joachim Escher, David Henry, Boris Kolev +1
In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this…
Non-equilibrium current via geometric scatterers
Pavel Exner, Hagen Neidhardt, Milos Tater +1
We investigate non-equilibrium particle transport in the system consisting of a geometric scatterer and two leads coupled to heat baths with different chemical potentials. We deriv…
Integrability of the bi-Yang-Baxter sigma-model
C. Klimcik
We construct a Lax pair with spectral parameter for a two-parameter doubly Poisson-Lie deformation of the principal chiral model.