Research Publications
Journal Articles
18
Di Primio, A., & Liverani, L. (2026).
Large-time asymptotics of the regularized Moore-Gibson-Thompson equation with Gurtin-Pipkin thermal law.
Discrete and Continuous Dynamical Systems - S.
17
Li, Z., Liu, K., Liverani, L., & Zuazua, E. (2026).
Universal approximation of dynamical systems by semiautonomous neural ODEs and applications.
SIAM J. Numer. Anal., 64(1), 193–223.
16
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, 202, 103757.
15
Dell'Oro, F., Liverani, L., Pata, V., & Quintanilla, R. (2025).
Global attractors for Moore–Gibson–Thompson thermoelastic extensible beams and Berger plates.
Nonlinear Analysis: Real World Applications, 84, 104298.
14
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.
13
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.
12
Liverani, L., Mammeri, Y., Pata, V., & Quintanilla, R. (2025).
On the linearized Whitham-Broer-Kaup system on bounded domains.
Proc. Roy. Soc. Edinburgh Sect. A, 155(1), 104–123.
11
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.
10
Antonietti, P. F., Liverani, L., & Pata, V. (2023).
Lack of superstable trajectories in linear viscoelasticity: A numerical approach.
Numer. Math., 153(4), 611–633.
9
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.
7
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.
6
Conti, M., Liverani, L., & Pata, V. (2022).
Correction to "Thermoelasticity with antidissipation".
Discrete Contin. Dyn. Syst. Ser. S, 15, 2429–2431.
5
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.
4
Conti, M., Liverani, L., & Pata, V. (2022).
Thermoelasticity with antidissipation.
Discrete Contin. Dyn. Syst. Ser. S, 15, 2173–2188.
3
Liverani, L., & Quintanilla, R. (2022).
Thermoelasticity with temperature and microtemperatures with fading memory.
Math. Mech. Solids, 28, 1255–1273.
2
Conti, M., Liverani, L., & Pata, V. (2021).
A note on the energy transfer in coupled differential systems.
Commun. Pure Appl. Anal., 20, 1821–1831.
1
Conti, M., Liverani, L., & Pata, V. (2021).
The MGT-Fourier model in the supercritical case.
J. Differential Equations, 301, 543–567.
Preprints
6
Álvarez-López, A., Liverani, L., & Zuazua, E. (2026).
Constructive interpolation and generalization rates for neural ODEs: A control perspective.
arXiv: 2606.00469
5
Felli, V., Liverani, L., & Ognibene, R. (2026).
On the splitting of Neumann eigenvalues in perforated domains.
arXiv: 2601.13129
4
Gong, X., Keimer, A., Liverani, L., & Nick Zinat Matin, H. (2026).
Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods.
arXiv: 2604.08904
3
Liverani, L., & Zuazua, E. (2026).
HYCO: Hybrid-cooperative learning for data-driven PDE modeling.
arXiv: 2509.14123
2
Lopez-Montero, D., Liverani, L., Zuazua, E., & Kobeleva, X. (2026).
Balancing data fidelity and interpretability of whole-brain dynamics via hybrid generative modeling.
Submitted for review.
1
Dell'Oro, F., Liverani, L., & Pata, V. (2024).
Abstract damped wave equations: The optimal decay rate.
arXiv: 2304.05816