Items for "random initial conditions"

Strongly dependent Gaussian scenarios for the Burgers turbulence problem with quadratic external potential

We study the limiting distributions of a rescaling solution of the heat and Burgers equations, with quadratic external potential, in the case where the initial velocity potential is a strongly dependent Gaussian random field.

Keywords: long-range dependence, nonhomogeneous Burgers equation, quadratic potential, random initial conditions, scaling laws, spatiotemporal random fields