Nicola de Nitti (EPFL)
Date
Tuesday February 13, 20249:30 am - 10:30 am
Location
Jeffery Hall, Room 319 (Via Zoom)Event Category
PDEs & Applications Seminar
Tuesday, February 13th, 2024
Time: 9:30 a.m. Place: Jeffery Hall, Room 319 (Via Zoom)
Speaker: Nicola de Nitti (EPFL)
Title: Sharp bounds on enstrophy growth for viscous scalar conservation laws
Abstract: We prove sharp bounds on the enstrophy growth in viscous scalar conservation laws. The upper bound is, up to a prefactor, the enstrophy created by the steepest viscous shock admissible by the $L^\infty$ and total variation bounds and viscosity. This answers a conjecture by D. Ayala and B. Protas (Physica D, 2011), based on numerical evidence, for the viscous Burgers equation. This talk is based on a joint work with D. Albritton [https://doi.org/10.1088/1361-6544/ad073f].