Published Papers:

1. D. Donatelli and E. Feireisl, An anelastic approximation arising in astrophysics. Math. Ann, 369, (2017), 1573-1597.
2. D. Donatelli and K. Trivisa, On a free boundary problem for polymeric fluids: global existence of weak solutions. NoDEA Nonlinear Differential Equations Appl., 24,(2017).
3. D. Donatelli and K. Trivisa, On a nonlinear model for tumor growth in a cellular medium, J. Dyn. Diff. Equat., 29, (2017), 833-861.
4. L. Di Bernardo and D. Donatelli, Global and Local stability for a non- linear hyperbolic system model for the role of stem cells in physiological homeostasis, Comp. Appl. Math, 36, no.1, (2017), 1-22.
5. D. Donatelli and P. Marcati, Low Mach number limit for the Quantum-Hydrodynamics system, Research in the Mathematical Sciences, 3, (2016), 3-13.
6. D. Donatelli, B. Ducomet, M. Kobera, Š. Ne?asová, Low Mach and Péclet number limit for a model of stellar tachocline and upper radiative zones. Electronic J. Differential Equations, 2016, (2016), p. 1-31,
7. D. Donatelli and S. Spirito, Vanishing dielectric constant regime for the Navier Stokes Maxwell equations, NoDEA Nonlinear Differential Equations Appl., 23, no. 3, (2016), 23-28.
8. D. Donatelli and P. Marcati, Dispersive behaviour in the analysis of acoustic waves and plasma oscillations. Bull. Braz. Math. Soc. (N.S.), 47, no. 1, (2016), 291–305.
9. D. Donatelli and P. Marcati, Quasineutral limit, dispersion and oscillations for Korteweg type fluids, SIAM J. Math. Anal. 47, no. 3, (2015), 2265-2282
10. D. Donatelli and K. Trivisa, On a nonlinear model for tumor growth with drug application, Nonlinearity, 28, (2015), 1463-1481.
11. D. Donatelli, E. Feireisl and P. Marcati, Well/ill posedness for the Euler- Korteweg-Poisson system and related problems, Scale analysis of a hydrodynamic model of plasma, Communications in Partial Differential Equations, 40, (2015), 1314–1335.
12. D. Donatelli, E. Feireisl and A. Novotny. Scale analysis of a hydrodynamic model of plasma, M3AS: Mathematical Models and Methods in Applied Sciences, 25, no.2, (2015), 371–394.
13. D. Donatelli and K. Trivisa, On a nonlinear model for tumor growth: Global in time weak solutions, J. of Math. Fluid Mech., 16, (2014),787–803.
14. D. Donatelli and P. Marcati, Analysis of Oscillations and Defect measures in plasma physics, Proceedings of Hyp2012 - The 14th International Conference on Hyperbolic Problems, AIMS, 2014, 525–53.
15. D. Donatelli and P. Marcati. The quasineutral limit for the Navier Stokes Fourier Poisson System in plasma, Springer Proceedings in Mathematics & Statistics, 49, (2014), 193-206.
16. D. Donatelli, M. Mei, B. Rubino and R. Sampalmieri, Asymptotic behavior of solutions to Euler-Poisson equations for bipolar hydrodynamic model of semiconductors. J. of Differential equations, 255, no. 10, (2013), 3150-3184.
17. L. Chen, D. Donatelli and P. Marcati. Incompressible type limit analysis of a hydrodynamic model for charge-carrier transport. SIAM J. Math. Analysis, 45, no. 3, (2013), 915-933.
18. D. Donatelli, The artificial compressibility approximation for MHD equations in unbounded domain. Journal of Hyperbolic Differential Equations, 10, no. 1 (2013), 181-198.
19. D. Donatelli and P. Marcati Analysis of quasineutral limits, Hyperbolic Problems: Theory, Numerics, Applications, aSeries in Contemporary Applied Mathematics CAM 18, vol.2, 2012, 390-397.
20. D. Donatelli and P. Marcati. Analysis of oscillations and defect measures for the quasineutral limit in plasma physics. Arch. of Rat. Mech. and Analysis, 206, no. 1, (2012), 159-188.
21. D. Donatelli, E. Feireisl and A. Novotny. On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media. Journal of Nonlinear Science, 22, no. 6, (2012), 985-1012.
22. D. Donatelli and P. Marcati. Low Mach number limit on exterior domains. Acta Mathematica Scientia, 32, no. 1, (2012), 164–176.
23. D. Donatelli and S. Spirito. Weak solutions of Navier-Stokes equations constructed by artificial compressibility method are suitable. Journal of Hyperbolic Differential Equations, 8, no. 1, (2011),101-113.
24. D. Donatelli and P. Marcati. Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method. Indiana Univ. Math. J., 59, (2010), 1831-1852.
25. D. Donatelli, E. Feireisl and A. Novotny. On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Discrete and Cont. Dynamical system. Series B, 13, no. 4, (2010), 783-798.
26. D. Donatelli and M. Di Francesco. Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models. Discrete and Cont. Dynamical system. Series B, 13, no. 1, (2010), 79-100.
27. D. Donatelli. On the artificial compressibility method for the Navier Stokes Fourier system. Quart. Appl. Math., 68, no.3. (2010), 469-485.
28. D. Donatelli and P. Marcati. Applications of dispersive estimates to the acoustic pressure waves for incompressible fluid problems. Proceedings of Symposia in Applied Mathematics, 67, part I, (2009), 279-297.
29. D. Donatelli and C. Lattanzio. On the diffusive stress relaxation for multidimensional viscoelasticity. Communication in Pure and Appl. Anal., 8, no. 2, (2009), 645-654.
30. D. Donatelli and K.Trivisa. From the dynamics of gaseous stars to the incompressible Euler equations. J. of Differential equations, 245, (2008), 1356-1385.
31. D. Donatelli and P.Marcati. Artificial compressibility approximation for the incompressible Navier- Stokes equations on unbounded domain. Hyperbolic Problems: Theory, Numerics, Applications, Springer, (2008), 475-483.
32. D. Donatelli and P.Marcati. A quasineutral type limit for the Navier Stokes Poisson system with large data. Nonlinearity, 21, (2008), 135-148.
33. D. Donatelli and K.Trivisa. On a multidimensional model for the dynamic combustion of compressible reacting flow. Arch. of Rat. Mech. and Analysis, 185, (2007), 379-408.
34. D. Donatelli and P.Marcati. A dispersive approach to the artificial compressibility approximations of the Navier Stokes equations in 3-D. Journal of Hyperbolic Differential Equations, 3, (2006), no. 3, 575-588.
35. D. Donatelli and K.Trivisa. On the motion of a viscous compressible radiative-reacting gas. Comm. in Math. Phys., 265, (2006), no. 2, 463-491.
36. D. Donatelli and P. Marcati. Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems. Trans. Amer. Math. Soc. 356 (2004), no. 5, 2093--2121 (electronic).
37. D. Donatelli. Local and global existence for the coupled Navier-Stokes-Poisson problem. Quart. Appl. Math. 61 (2003), no. 2, 345--361.
38. D. Donatelli and P.Marcati. Singular limits for nonlinear hyperbolic systems. Evolution equations, semigroups and functional analysis (Milano, 2000), 79--96, Progr. Nonlinear Differential Equations Appl., 50, Birkhäuser, Basel, 2002.
39. D. Donatelli, P. Marcati. Parabolic relaxation of semilinear multidimensional hyperbolic Systems. Hyperbolic problems:theory, numerics, applications, Vol.I, II, (Magdeburg 2000), 307-316,  Internat. Ser. Numer. Math., 140, 141, Birkhäuser, Basel, 2001.
40. D. Donatelli and P. Marcati. 1- D Relaxation from hyperbolic to parabolic systems with variable coefficients. Workshop on Blow-up and Global Existence of Solutions for Parabolic and Hyperbolic Problems (Trieste, 1999). Rend. Istit. Mat. Univ. Trieste 31 (2000), suppl. 2, 63-85.
41. D. Donatelli and P. Marcati. Relaxation of semilinear hyperbolic systems with variable coefficients. Papers in memory of Ennio De Giorgi (Italian). Ricerche Mat. 48 (1999), suppl., 295--310.

Preprints: