Annalisa Iuorio, Raimondo Luciano
The group is dedicated to the following research activities:
1) Construction of mathematical models based on partial and ordinary differential equations linked to the description of phenomena arising in different applied fields, in particular ecology and engineering;
2) Extension of nonlocal elasticity theories based on stress-driven spatial convolutions;
3) Investigation of wave propagation both via the construction of travelling waves solutions using methods from Geometric Singular Perturbation Theory and via the determination of dispersion relations in nonlocal models;
4) Analysis of patterned distributions due to Turing instabilities and cross-diffusion;
5) Study of steady-states and bifurcations based on numerical continuation software (e.g. AUTO, pde2path);
6) Simulation of systems' dynamics via numerical tools (Matlab/Mathematica).
Apuzzo, A., Barretta, R., Luciano, R., de Sciarra, F. M., & Penna, R. (2017). Free vibrations of Bernoulli-Euler nano-beams by the stress-driven nonlocal integral model. Composites Part B: Engineering, 123, 105-111.
https://www.sciencedirect.com/science/article/pii/S1359836817305875
Barretta, R., Feo, L., Luciano, R., de Sciarra, F. M., & Penna, R. (2016). Functionally graded Timoshenko nanobeams: a novel nonlocal gradient formulation. Composites Part B: Engineering, 100, 208-219.
https://www.sciencedirect.com/science/article/pii/S1359836816303791
Iuorio, A., & Veerman, F. (2021). The influence of autotoxicity on the dynamics of vegetation spots. Physica D: Nonlinear Phenomena, 427, 133015.
https://www.sciencedirect.com/science/article/pii/S016727892100172X
Iuorio, A., Popovic, N., & Szmolyan, P. (2019). Singular perturbation analysis of a regularized MEMS model. SIAM Journal on Applied Dynamical Systems, 18(2), 661-708.
https://epubs.siam.org/doi/abs/10.1137/18M1197552
Marasco, A., Iuorio, A., Cartení, F., Bonanomi, G., Tartakovsky, D. M., Mazzoleni, S., & Giannino, F. (2014). Vegetation pattern formation due to interactions between water availability and toxicity in plant–soil feedback. Bulletin of mathematical biology, 76(11), 2866-2883.
https://link.springer.com/article/10.1007/s11538-014-0036-6