The inviscid Burgers equation with fractional Brownian initial data: the dimension of regular Lagrangian points
classification
🧮 math-ph
math.MP
keywords
brownianburgersdimensionequationfractionalinitialinviscidlagrangian
read the original abstract
Fractional Brownian motion, H-FBM , of index 0<H<1 is considered as initial velocity in the inviscid Burgers equation. It is shown that the Hausdorff dimension of regular Lagrangian points at any moment t is equal to H. This fact validates the Sinai-Frisch conjecture known since 1992.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.