4 papers
Finite lattice kinetic equations for bosons, fermions, and discrete NLS
Jani Lukkarinen, Sakari Pirnes, Aleksis Vuoksenmaa
We introduce and study finite lattice kinetic equations for bosons, fermions, and discrete NLS. For each model this closed evolution equation provides an approximate description fo…
Smoluchowski Coagulation Equation with a Flux of Dust Particles
Marina A. Ferreira, Aleksis Vuoksenmaa
We construct a time-dependent solution to the Smoluchowski coagulation equation with a constant flux of dust particles entering through the boundary at zero. The dust is instantane…
Generation of chaos in the cumulant hierarchy of the stochastic Kac model
Jani Lukkarinen, Aleksis Vuoksenmaa
We study the time-evolution of cumulants of velocities and kinetic energies in the stochastic Kac model for velocity exchange of particles, with the aim of quantifying how fast…
Dynamics of the infinite discrete nonlinear Schrödinger equation
Aleksis Vuoksenmaa
The discrete nonlinear Schrödinger equation on \(\Z^d\), \(d \geq 1\) is an example of a dispersive nonlinear wave system. Being a Hamiltonian system that conserves also the \(\ell…