arXiv subjects

R. Iturriaga

Publications and source records attributed to R. Iturriaga.

2 recordsLinked to original sources

arXiv2002

Topological Shocks in Burgers Turbulence

The dynamics of the multi-dimensional randomly forced Burgers equation is studied in the limit of vanishing viscosity. It is shown both theoretically and numerically that the shocks have a universal global structure which is determined by the topology of the configuration space. This structure is shown to be particularly rigid for the case of periodic boundary conditions.

nlin.CD↗

arXiv2000

A minimax selector for a class of hamiltonians on cotangent bundles

We construct a minimax selector for eventually quadratic hamiltonians on cotangent bundles. We use it to give a relation between Hofer's energy and Mather's action minimizing function. We also study the local flatness of the set of twist maps.

math.SG↗