6 citations · 7 across the 3 of their papers we have counts for
7 papers
Verification of some functional inequalities via polynomial optimization
Giovanni Fantuzzi
Motivated by the application of Lyapunov methods to partial differential equations (PDEs), we study functional inequalities of the form where is…
Bounds on heat transport for convection driven by internal heating
Ali Arslan, Giovanni Fantuzzi, John Craske +1
The mean vertical heat transport in convection between isothermal plates driven by uniform internal heating is investigated by means of rigorous bounds. These…
Finding unstable periodic orbits: a hybrid approach with polynomial optimization
Mayur Lakshmi, Giovanni Fantuzzi, Sergei Chernyshenko +1
We present a novel method to compute unstable periodic orbits (UPOs) that optimize the infinite-time average of a given quantity for polynomial ODE systems. The UPO search procedur…
Rigorous bounds on the heat transport of rotating convection with Ekman pumping
B. Pachev, J. P. Whitehead, G. Fantuzzi +1
We establish rigorous upper bounds on the time-averaged heat transport for a model of rotating Rayleigh-Benard convection between no-slip boundaries at infinite Prandtl number and…
New bounds on the vertical heat transport for Bénard-Marangoni convection at infinite Prandtl number
Giovanni Fantuzzi, Camilla Nobili, Andrew Wynn
We prove a new rigorous upper bound on the vertical heat transport for Bénard-Marangoni convection of a two- or three-dimensional fluid layer with infinite Prandtl number. Precisel…
Duality of convex relaxations for constrained variational problems
Giovanni Fantuzzi
We prove weak duality between two recent convex relaxation methods for bounding the optimal value of a constrained variational problem in which the objective is an integral functio…