Research Publications
Journal Articles
1
Crin-Barat, T., Liverani, L., Shou, L.-Y., & Zuazua, E. (2025).
Large-time asymptotics for hyperbolic systems with non-symmetric relaxation: An algorithmic approach.
Journal de Mathématiques Pures et Appliquées. (To appear).
2
Dell'Oro, F., Liverani, L., Pata, V., & Quintanilla, R. (2025).
On the double Moore–Gibson–Thompson system of thermoviscoelasticity.
Studies in Applied Mathematics, 154(1), e12784.
3
Felli, V., Liverani, L., & Ognibene, R. (2025).
Quantitative spectral stability for the Neumann Laplacian in domains with small holes.
J. Funct. Anal., 288(6), Paper No. 110817.
4
Bazarra, N., Fernández, J. R., Liverani, L., & Quintanilla, R. (2024).
Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures.
J. Comput. Appl. Math., 438, Paper No. 115571, 20.
5
Dell'Oro, F., Liverani, L., Pata, V., & Quintanilla, R. (2024).
Global attractors for Moore-Gibson-Thompson thermoelastic extensible beams and Berger plates.
Nonlinear Analysis Real World Applications. (In press).
6
Antonietti, P. F., Liverani, L., & Pata, V. (2023).
Lack of superstable trajectories in linear viscoelasticity: A numerical approach.
Numer. Math., 153(4), 611–633.
7
Conti, M., Liverani, L., & Pata, V. (2023).
On the Moore-Gibson-Thompson equation with memory with nonconvex kernels.
Indiana Univ. Math. J., 72, 1–27.
8
Dell'Oro, F., Liverani, L., & Pata, V. (2023).
On the regularized Moore-Gibson-Thompson equation.
Discrete Contin. Dyn. Syst. Ser. S.
9
Liverani, L., Mammeri, Y., Pata, V., & Quintanilla, R. (2023).
On the linearized Whitham–Broer–Kaup system on bounded domains.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1–20.
10
Conti, M., Dell'Oro, F., Liverani, L., & Pata, V. (2022).
Spectral analysis and stability of the Moore-Gibson-Thompson-Fourier model.
J. Dynam. Differential Equations.
11
Conti, M., Liverani, L., & Pata, V. (2022).
Correction to "Thermoelasticity with antidissipation".
Discrete Contin. Dyn. Syst. Ser. S, 15, 2429–2431.
12
Conti, M., Liverani, L., & Pata, V. (2022).
On the optimal decay rate of the weakly damped wave equation.
Commun. Pure Appl. Anal., 21, 3421–3424.
13
Conti, M., Liverani, L., & Pata, V. (2022).
Thermoelasticity with antidissipation.
Discrete Contin. Dyn. Syst. Ser. S, 15, 2173–2188.
14
Liverani, L., & Quintanilla, R. (2022).
Thermoelasticity with temperature and microtemperatures with fading memory.
Math. Mech. Solids, 28, 1255–1273.
15
Conti, M., Liverani, L., & Pata, V. (2021).
A note on the energy transfer in coupled differential systems.
Commun. Pure Appl. Anal., 20, 1821–1831.
16
Conti, M., Liverani, L., & Pata, V. (2021).
The MGT-Fourier model in the supercritical case.
J. Differential Equations, 301, 543–567.
Submitted and in preparation
1
Fantuzzi, G., & Liverani, L. (2025).
Discovering distributions of random dynamical systems.
(In preparation).
2
Liverani, L., Steynberg, M., & Zuazua, E. (2025).
HYCO: The hybrid-collapse strategy for PDE learning.
(In preparation).
3
Dell'Oro, F., Liverani, L., & Pata, V. (2024).
Abstract damped wave equations: The optimal decay rate.
(Submitted for review). arXiv: 2304.05816
4
Li, Z., Liu, K., Liverani, L., & Zuazua, E. (2024).
Universal approximation of dynamical systems by semi-autonomous neural odes and applications.
(Submitted for review). arXiv: 2407.17092