71 citations · 188 across the 19 of their papers we have counts for
3 papers · 2 filters
Wigner measures and observability for the Schrödinger equation on the disk
Nalini Anantharaman, Matthieu Léautaud, Fabricio Macià
We analyse the structure of semiclassical and microlocal Wigner measures for solutions to the linear Schrödinger equation on the disk, with Dirichlet boundary conditions. Our appro…
Kinetic theory and numerical simulations of two-species coagulation
Carlos Escudero, Fabricio Macia, Raul Toral +1
In this work we study the stochastic process of two-species coagulation. This process consists in the aggregation dynamics taking place in a ring. Particles and clusters of particl…
Semiclassical Completely Integrable Systems : Long-Time Dynamics And Observability Via Two-Microlocal Wigner Measures
Nalini Anantharaman, Clotilde Fermanian Kammerer, Fabricio Macià
We look at the long-time behaviour of solutions to a semi-classical Schrödinger equation on the torus. We consider time scales which go to infinity when the semi-classical paramete…