Nicola de Nitti (EPFL)


Tuesday February 13, 2024
9:30 am - 10:30 am


Jeffery Hall, Room 319 (Via Zoom)

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 [].