Research interests

Papers

Curriculm vitae


 
 

Research interests:

Partial Differential Equations of Hyperbolic type

Hyperbolic Systems of Conservation Laws

Relaxation Limits for nonlinear hyperbolic systems

Incompressible and Compressible Navier Stokes equations

Mathematical models of fluidynamical type
 
 


       Top

Papers by Donatella Donatelli
 
 

Published Papers:

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. D. Donatelli. Local and global existence for the coupled Navier-Stokes-Poisson problem. Quart. Appl. Math. 61 (2003), no. 2, 345--361.
  6. 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).
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. D. Donatelli and P.Marcati. A quasineutral type limit for the Navier Stokes Poisson system with large data. Nonlinearity, 21, (2008), 135-148 .
  12. D. Donatelli and K.Trivisa. From the dynamics of gaseous stars to the incompressible Euler equations. J. of Differential equations, 245, (2008), 1356-1385.
  13. 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.
  14. D. Donatelli. On the artificial compressibility method for the Navier Stokes Fourier system. To appear in Quart. Appl. Math., 2009.
  15. D. Donatelli and M. Di Francesco. Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller-Segel type models. To appear in Discrete and Cont. Dynamical system. Series B, 13, no. 1, (2010), 79-100.

 

Preprints:
 
 
  1. D. Donatelli and P. Marcati. Leray weak solutions of the Incompressible Navier Stokes system on exterior domains via the artificial compressibility method. Preprint 2009 (submitted).
  2. D. Donatelli and S. Spirito. Weak solutions of Navier-Stokes equations constructed by artificial compressibility method are suitable. Preprint 2009 (submitted).
  3. D. Donatelli, E. Feireisl and A. Novotny. On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Preprint 2009 (submitted).

                                 

Home       Top