Reducible KAM tori for the Degasperis–Procesi equation

R Feola, F Giuliani, M Procesi - Communications in mathematical physics, 2020 - Springer
We develop KAM theory close to an elliptic fixed point for quasi-linear Hamiltonian
perturbations of the dispersive Degasperis–Procesi equation on the circle. The overall …

Predicting and optimizing microswimmer performance from the hydrodynamics of its components: the relevance of interactions

N Giuliani, L Heltai, A DeSimone - Soft robotics, 2018 - liebertpub.com
Interest in the design of bioinspired robotic microswimmers is growing rapidly, motivated by
the spectacular capabilities of their unicellular biological templates. Predicting the swimming …

How Euglena gracilis swims: Flow field reconstruction and analysis

N Giuliani, M Rossi, G Noselli, A DeSimone - Physical Review E, 2021 - APS
Euglena gracilis is a unicellular organism that swims by beating a single anterior flagellum.
We study the nonplanar waveforms spanned by the flagellum during a swimming stroke and …

MicroROM: An efficient and accurate reduced order method to solve many-query problems in micro-motility

N Giuliani, MW Hess, A DeSimone… - … Modelling and Numerical …, 2022 - esaim-m2an.org
In the study of micro-swimmers, both artificial and biological ones, many-query problems
arise naturally. Even with the use of advanced high performance computing (HPC), it is not …

MicroROM: An Efficient and Accurate Reduced Order Method to Solve Many-Query Problems in Micro-Motility

N Giuliani, MW Hess, A DeSimone, G Rozza - arXiv preprint arXiv …, 2020 - arxiv.org
In the study of micro-swimmers, both artificial and biological ones, many-query problems
arise naturally. Even with the use of advanced high performance computing (HPC), it is not …