One-dimensional turbulence with Burgers
arXiv:2004.02825
Abstract
Gathering together some existing results, we show that the solutions to the one-dimensional Burgers equation converge for long times towards the stationary solutions to the steady Burgers equation, whose Fourier spectrum is not integrable. This is one of the main features of wave turbulence.
Contribution to the Springer-UMI book of proceedings for the Winter School FLUDYDIQUA 2018 in Bressanone