Lorenzo Liverani
Postdoctoral Researcher
Funded by Alexander von Humboldt Foundation
lorenzo.liverani@fau.de
Room 03.362 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67133
Postdoctoral Researcher
Funded by Alexander von Humboldt Foundation
lorenzo.liverani@fau.de
Room 03.362 | Friedrich-Alexander-Universität Erlangen-Nürnberg. FAU DCN-AvH Chair for Dynamics, Control, Machine Learning and Numerics – Alexander von Humboldt Professorship.
+49 9131 85-67133
In 2023 I have obtained my PhD at Politecnico di Milano, under the supervision of professor Vittorino Pata.
After a one-year postdoc at the Università degli Studi Milano Bicocca, under the supervision of professor Veronica Felli, I have joined the Chair for Dynamics, Control, Machine Learning and Numerics at FAU as an Alexander von Humboldt postdoctoral researcher.
My research interests focus on the wellposedness and asymptotic behavior of hyperbolic partial differential equations and on semigroup theory. I also have a side interest in the spectral stability problems for elliptic operators.
Events
• MLPDEs 2025 Workshop (April 28-30, 2024): Machine Learning and PDEs Workshop, Erlangen – Bavaria, Germany.
• FAU DCN-AvH Seminar (Feb. 29, 2024): Energy Estimates, Semigroups, and The Weakly Damped Wave Equation.
Publications
2024
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Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications
(2024)
Open Access: https://arxiv.org/abs/2407.17092
URL: https://arxiv.org/abs/2407.17092
BibTeX: Download - Bazarra N., Fernández J.R., Liverani L., Quintanilla R.:
Analysis of a thermoelastic problem with the Moore–Gibson–Thompson microtemperatures
In: Journal of Computational and Applied Mathematics 438 (2024), Article No.: 115571
ISSN: 0377-0427
DOI: 10.1016/j.cam.2023.115571
BibTeX: Download - , , , :
On the Double Moore–Gibson–Thompson System of Thermoviscoelasticity
In: Studies in Applied Mathematics (2024)
ISSN: 0022-2526
DOI: 10.1111/sapm.12784
URL: https://onlinelibrary.wiley.com/doi/10.1111/sapm.12784
BibTeX: Download
2023
- , , :
Lack of superstable trajectories in linear viscoelasticity: a numerical approach
In: Numerische Mathematik 153 (2023), p. 611-633
ISSN: 0029-599X
DOI: 10.1007/s00211-023-01351-1
BibTeX: Download - Liverani L., Mammeri Y., Pata V., Quintanilla R.:
On the linearized Whitham-Broer-Kaup system on bounded domains
In: Proceedings of the Royal Society of Edinburgh Section A-Mathematics (2023)
ISSN: 0308-2105
DOI: 10.1017/prm.2023.85
BibTeX: Download - Conti M., Liverani L., Pata V.:
On the Moore-Gibson-Thompson Equation with Memory with Nonconvex Kernels
In: Indiana University Mathematics Journal 72 (2023), p. 1-27
ISSN: 0022-2518
DOI: 10.1512/iumj.2023.72.9330
BibTeX: Download - Dell’Oro F., Liverani L., Pata V.:
On the Regularized Moore-Gibson-Thompson Equation
In: Discrete and Continuous Dynamical Systems. Series S 16 (2023), p. 2326-2338
ISSN: 1937-1632
DOI: 10.3934/dcdss.2023025
BibTeX: Download - Liverani L., Quintanilla R.:
Thermoelasticity with temperature and microtemperatures with fading memory
In: Mathematics and Mechanics of Solids 28 (2023), p. 1255-1273
ISSN: 1081-2865
DOI: 10.1177/10812865221115359
BibTeX: Download
2022
- Conti M., Liverani L., Pata V.:
Erratum: THERMOELASTICITY WITH ANTIDISSIPATION (Discrete and Continuous Dynamical Systems - Series S (2022) 15:8 (2173-2188))
In: Discrete and Continuous Dynamical Systems. Series S 15 (2022), p. 2429-2431
ISSN: 1937-1632
DOI: 10.3934/dcdss.2022125
BibTeX: Download - Conti M., Liverani L., Pata V.:
On the Optimal Decay Rate of the Weakly Damped Wave Equation
In: Communications on Pure and Applied Analysis 21 (2022), p. 3421-3424
ISSN: 1534-0392
DOI: 10.3934/cpaa.2022107
BibTeX: Download - Conti M., Dell’Oro F., Liverani L., Pata V.:
Spectral Analysis and Stability of the Moore-Gibson-Thompson-Fourier Model
In: Journal of Dynamics and Differential Equations (2022)
ISSN: 1040-7294
DOI: 10.1007/s10884-022-10164-z
BibTeX: Download - Conti M., Liverani L., Pata V.:
Thermoelasticity with Antidissipation
In: Discrete and Continuous Dynamical Systems. Series S 15 (2022), p. 2173-2188
ISSN: 1937-1632
DOI: 10.3934/dcdss.2022040
BibTeX: Download
2021
- Conti M., Liverani L., Pata V.:
A note on the energy transfer in coupled differential systems
In: Communications on Pure and Applied Analysis 20 (2021), p. 1821-1831
ISSN: 1534-0392
DOI: 10.3934/cpaa.2021042
BibTeX: Download - Conti M., Liverani L., Pata V.:
The MGT-Fourier model in the supercritical case
In: Journal of Differential Equations 301 (2021), p. 543-567
ISSN: 0022-0396
DOI: 10.1016/j.jde.2021.08.030
BibTeX: Download
