Institution
North Carolina State University
Abstract
Inspired by a question posed by Lax in 2002, in recent years it has received an increasing attention the study on the metric entropy for nonlinear PDEs. In this talk, I will present recent results on the sharp estimates on the metric entropy for hyperbolic conservation laws in ${\bf L}^1$. Estimates of this type could provide a measure of the order of resolution of a numerical method for the corresponding equation.
Metric Entropy for Hyperbolic Conservation Laws
Inspired by a question posed by Lax in 2002, in recent years it has received an increasing attention the study on the metric entropy for nonlinear PDEs. In this talk, I will present recent results on the sharp estimates on the metric entropy for hyperbolic conservation laws in ${\bf L}^1$. Estimates of this type could provide a measure of the order of resolution of a numerical method for the corresponding equation.
