Publication

Sharp bounds on enstrophy growth for viscous scalar conservation laws

Nicola De Nitti
2023
Journal Articles

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 infinity and total variation bounds and viscosity. This answers a conjecture by Ayala and Protas (2011 Physica D 240 1553-63), based on numerical evidence, for the viscous Burgers equation.

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Sharp bounds on enstrophy growth for viscous scalar conservation laws

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