Papers

1. R. Folino and C. Lattanzio. Minimization of a Ginzburg-Landau functional with mean curvature operator in 1-D. Nonlinear Anal. 245 (2024), Paper No. 113577, 22 pp.
2. G. Cianfarani Carnevale and C. Lattanzio. High friction limits of Euler-Navier-Stokes-Korteweg equations for multicomponent models. Commun. Math. Sci. 21 (2023), no. 7, 1815-1863
3. K. Koumatos, C. Lattanzio, S. Spirito and A.E. Tzavaras. Existence and uniqueness for a viscoelastic Kelvin-Voigt model with nonconvex stored energy. J. Hyperbolic Differ. Equ. 20 (2023), no. 2, 433-474
4. C. Lattanzio, C. Mascia, R.G. Plaza and C. Simeoni. Analysis and numerics of the propagation speed for hyperbolic reaction-diffusion models. Preprint 2022 (available as pdf file)
5. G. Cianfarani Carnevale, C. Lattanzio and C. Mascia. Propagating fronts for a viscous Hamer-type system. Discrete Contin. Dynam. Systems 42 (2022), no. 2, 605-621
6. C. Lattanzio and D. Zhelyazov. Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity. Math. Models Methods Appl. Sci. 31 (2021), no. 9, 1719-1747
7. P. Antonelli, G. Cianfarani Carnevale, C. Lattanzio and S. Spirito. Relaxation limit from the quantum Navier-Stokes equations to the quantum Drift-Diffusion equation. J. Nonlinear Sci. 31 (2021), no. 5, Paper No. 71, 32 pp.
8. C. Lattanzio and D. Zhelyazov. Traveling waves for quantum hydrodynamics with nonlinear viscosity. J. Math. Anal. Appl. 493 (2021), no. 1, Paper No. 124503, 17 pp.
9. S. Fagioli, A. Festa, C. Lattanzio, M. Bellotti, G. Cutrupi, C. Criminisi, D. Micheli, G. Muratore and A. Vannelli. On the validity of the LWR traffic model. In Transportation Research Board 100th Annual Meeting, Washington DC, 2021, 14 pp.
10. R. Folino, C. Lattanzio and C. Mascia. Metastability and layer dynamics for the hyperbolic relaxation of the Cahn-Hilliard equation. J. Dynam. Differential Equations 33 (2021), no. 1, 75-110 (published online 1 November 2019)
11. G. Cianfarani Carnevale and C. Lattanzio. High friction limit for Euler-Korteweg and Navier-Stokes-Korteweg models via relative entropy approach. J. Differential Equations 269 (2020), no. 12, 10495-10526.
12. C. Lattanzio, P. Marcati and D. Zhelyazov. Numerical investigations of dispersive shocks and spectral analysis for linearized quantum hydrodynamics. Appl. Math. Comput. 385 (2020), 125450, 13 pp.
13. R. Folino, C. Lattanzio and C. Mascia. Motion of interfaces for a damped hyperbolic Allen-Cahn equation. Commun. Pure Appl. Anal. 19 (2020), no. 9, 4507-4543
14. C. Lattanzio, P. Marcati and D. Zhelyazov. Dispersive shocks in Quantum Hydrodynamics with viscosity. Phys. D 402 (2020), 132222, 13 pp.
15. R. Folino, C. Lattanzio and C. Mascia. Motion of interfaces for hyperbolic variations of the Allen-Cahn equation. In Hyperbolic Problems: Theory, Numerics, Applications, 434-441, Alberto Bressan, Marta Lewicka, Dehua Wang, Yuxi Zheng editors, AIMS Ser. Appl. Math., 10, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2020
16. C. Lattanzio, C. Mascia, R.G. Plaza and C. Simeoni. Kinetic schemes for assessing stability of traveling fronts for the Allen-Cahn equation with relaxation. Appl. Numer. Math. 141 (2019), 234-247
17. R. Folino, C. Lattanzio and C. Mascia. Slow dynamics for the hyperbolic Cahn-Hilliard equation in one space dimension. Math. Methods Appl. Sci. 42 (2019), no. 8, 2492-2512
18. G. Bretti, E. Cristiani, C. Lattanzio, A. Maurizi and B. Piccoli. Two algorithms for a fully coupled and consistently macroscopic PDE-ODE system modeling a moving bottleneck on a road. Math. Eng 1 (2019), no. 1, 55-83 (published online 14 September 2018)
19. C. Lattanzio, C. Mascia, R.G. Plaza and C. Simeoni. Spectral stability of traveling fronts for nonlinear hyperbolic equations of bistable type. Preprint 2018 (available as pdf file)
20. R. Folino, C. Lattanzio and C. Mascia. Metastable dynamics for hyperbolic variations of Allen-Cahn equation. Commun. Math. Sci. 15 (2017), no. 7, 2055-2085
21. R. Folino, C. Lattanzio, C. Mascia and M. Strani. Metastability for nonlinear convection-diffusion equations. NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 4, Paper No. 35, 20 pp.
22. C. Lattanzio and A.E. Tzavaras. From gas dynamics with large friction to gradient flows describing diffusion theories. Comm. Partial Differential Equations 42 (2017), no. 2, 261-290
23. J. Giesselmann, C. Lattanzio and A.E. Tzavaras. Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics. Arch. Ration. Mech. Anal. 223 (2017), no. 3, 1427-1484
24. C. Lattanzio, C. Mascia, R.G. Plaza and C. Simeoni. Analytical and numerical investigation of traveling waves for the Allen-Cahn model with relaxation. Math. Models Methods Appl. Sci. 26 (2016), no. 5, 931-985
25. C. Lattanzio and A.E. Tzavaras. Relative entropy methods for hyperbolic and diffusive limits. In Hyperbolic Problems: Theory, Numerics, Applications, 163-177, Fabio Ancona, Alberto Bressan, Pierangelo Marcati, Andrea Marson editors, AIMS Ser. Appl. Math., 8, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2014, 163-177. ISBN: 978-1-60133-017-8; 1-60133-017-0
26. C. Lattanzio and A.E. Tzavaras. Relative entropy in diffusive relaxation. SIAM J. Math. Anal. 45 (2013), no. 3, 1563-1584
27. I. Gasser, C. Lattanzio and A. Maurizi. Vehicular traffic flow dynamics on a bus route. Multiscale Model. Simul. 11 (2013), no. 3, 925-942
28. S.-Y. Ha, M.-J. Kang, C. Lattanzio and B. Rubino. A class of interacting particle systems on the infinite cylinder with flocking phenomena. Math. Models Methods Appl. Sci. 22 (2012), no. 7, 1250008, 25 pp.
29. C. Lattanzio, A. Maurizi and B. Piccoli. Moving bottlenecks in car traffic flow: a PDE-ODE coupled model. SIAM J. Math. Anal. 43 (2011), no. 1, 50-67
30. S.-Y. Ha, C. Lattanzio, B. Rubino and M. Slemrod. Flocking and synchronization of particle models. Quart. Appl. Math. 69 (2011), no. 1, 91-103
31. C. Lattanzio and B. Piccoli. Coupling of microscopic and macroscopic traffic models at boundaries. Math. Models Methods Appl. Sci. 20 (2010), no. 12, 2349-2370
32. C. Lattanzio, A. Maurizi and B. Piccoli. Modeling and simulation of vehicular traffic flow with moving bottlenecks. In F. Pistella and R. M. Spitaleri, editors, MASCOT09 Proceedings, volume 15 of IMACS Series in Computational and Applied Mathematics, pages 181-190, Rome, 2010
33. C. Lattanzio, C. Mascia, T. Nguyen, R.G. Plaza and K. Zumbrun. Stability of scalar radiative shock profiles. SIAM J. Math. Anal. 41 (2009/10), no. 6, 2165-2206.
34. D. Donatelli and C. Lattanzio. On the diffusive stress relaxation for multidimensional viscoelasticity. Commun. Pure Appl. Anal. 8 (2009), no. 2, 645-654
35. C. Lattanzio, C. Mascia and D. Serre. Nonlinear hyperbolic-elliptic coupled systems arising in radiation dynamics. In Hyperbolic Problems: Theory, Numerics, Applications, S. Benzoni-Gavage and D. Serre editors, Springer, Berlin, 2008, 661-669. ISBN: 978-3-540-75711-5
36. C. Lattanzio, C. Mascia and D. Serre. Shock waves for radiative hyperbolic-elliptic systems. Indiana Univ. Math. J. 56 (2007), no. 5, 2601-2640
37. J.A. Carrillo, M. Di Francesco and C. Lattanzio. Contractivity and asymptotics in Wasserstein metrics for viscous nonlinear scalar conservation laws. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 10 (2007), no. 2, 277-292
38. C. Lattanzio and A.E. Tzavaras. Structural properties of stress relaxation and convergence from viscoelasticity to polyconvex elastodynamics. Arch. Ration. Mech. Anal. 180 (2006), no. 3, 449-492
39. C. Lattanzio. Diffusive relaxation limit for hyperbolic systems. Proceedings of the 6th European Conference on Numerical Mathematics and Advanced Applications – ENUMATH 2005 (Santiago de Compostela, 2005). Numerical Mathematics and Advanced Applications, Springer, Berlin, 2006, 396-403. ISBN: 978-3-540-34287-8; 3-540-34287-7
40. M. Di Francesco and C. Lattanzio. Optimal L¹ decay rate to diffusion waves for the Hamer model of radiating gases. Appl. Math. Lett. 19 (2006), no. 10, 1046-1052
41. J.A. Carrillo, M. Di Francesco and C. Lattanzio. Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws. J. Differential Equations 231 (2006), no. 2, 425-458
42. C. Lattanzio and B. Rubino. Asymptotic Behavior and Strong Convergence for Hyperbolic Systems of Conservation Laws with Damping. Quart. Appl. Math. 62 (2004), no. 3, 529-540
43. M. Di Francesco and C. Lattanzio. Diffusive relaxation 3x3 model for a system of viscoelasticity. Asymptot. Anal. 40 (2004), no. 3-4, 235-253
44. C. Lattanzio and P. Marcati. Global Well-Posedness and Relaxation Limits of a Model for Radiating Gas. J. Differential Equations 190 (2003), no. 2, 439-465
45. C. Lattanzio and R. Natalini. Convergence of Diffusive BGK Approximations for Nonlinear Strongly Parabolic Systems. Proc. Roy. Soc. Edinburgh Sect. A 132 (2002), no. 2, 341-358
46. C. Lattanzio and W.-A. Yong. Hyperbolic-Parabolic Singular Limits for First-Order Nonlinear Systems. Comm. Partial Differential Equations 26 (2001), no. 5-6, 939-964
47. C. Lattanzio and D. Serre. Convergence of a Relaxation Scheme for Hyperbolic Systems of Conservation Laws. Numer. Math. 88 (2001), no. 1, 121-134
48. C. Lattanzio. On the 3-D Bipolar Isentropic Euler-Poisson Model for Semiconductors and the Drift-Diffusion Limit. Math. Models Methods Appl. Sci. 10 (2000), no. 3, 351-360
49. C. Lattanzio and D. Serre. Shock Layers Interactions for a Relaxation Approximation to Conservation Laws. NoDEA Nonlinear Differential Equations Appl. 6 (1999), no. 3, 319-340
50. C. Lattanzio and P. Marcati. The Zero Relaxation Limit for 2x2 Hyperbolic Systems. Nonlinear Anal. 38 (1999), no. 3, 375-389
51. C. Lattanzio and P. Marcati. The relaxation to the drift-diffusion system for the 3-D isentropic Euler-Poisson model for semiconductors. Discrete Contin. Dynam. Systems 5 (1999), no. 2, 449-455
52. C. Lattanzio and P. Marcati. Asymptotic Stability of Plane Diffusion Waves for the 2-D Quasilinear Wave Equation. Contemp. Math. 238, American Mathematical Society, Providence, RI, 1999, 163–182. ISBN: 0-8218-1196-7
53. C. Lattanzio and P. Marcati. Diffusive Profile for the 2-D Nonlinear Damped Wave Equation. Proceedings of the IX International Conference on Waves and Stability in Continuous Media (Bari, 1997). Rend. Circ. Mat. Palermo (2) Suppl. 1998, no. 57, 293-302
54. C. Lattanzio and P. Marcati. The Zero Relaxation Limit for the Hydrodynamic Whitham Traffic Flow Model. J. Differential Equations 141 (1997), no. 1, 150-178

(Last updated December 22, 2024)