A quasineutral type limit for the Navier–Stokes–Poisson system with large data

D Donatelli, P Marcati - Nonlinearity, 2007 - iopscience.iop.org
In this paper we investigate a quasineutral type limit for the Navier–Stokes–Poisson system.
We prove that the projection of the approximating velocity fields on the divergence-free …

Local and global existence for the coupled Navier-Stokes-Poisson problem

D Donatelli - Quarterly of Applied Mathematics, 2003 - ams.org
In this paper we investigate the Cauchy Problem for coupled Navier-Stokes-Poisson
equation. The global existence of weak solutions in Sobolev framework is proved by using …

Well/ill posedness for the Euler-Korteweg-Poisson system and related problems

D Donatelli, E Feireisl, P Marcati - Communications in Partial …, 2015 - Taylor & Francis
We consider a general Euler-Korteweg-Poisson system in R 3 , supplemented with the
space periodic boundary conditions, where the quantum hydrodynamics equations and the …

On the motion of a viscous compressible radiative-reacting gas

D Donatelli, K Trivisa - Communications in mathematical physics, 2006 - Springer
A multidimensional model is introduced for the dynamic combustion of compressible, radiative
and reactive gases. In the macroscopic description adopted here, the radiation is treated …

[HTML][HTML] Asymptotic behavior of solutions to Euler–Poisson equations for bipolar hydrodynamic model of semiconductors

D Donatelli, M Mei, B Rubino, R Sampalmieri - Journal of Differential …, 2013 - Elsevier
In this paper we study the Cauchy problem for 1-D Euler–Poisson system, which represents
a physically relevant hydrodynamic model but also a challenging case for a bipolar …

A multidimensional model for the combustion of compressible fluids

D Donatelli, K Trivisa - Archive for rational mechanics and analysis, 2007 - Springer
We consider a multidimensional model for the combustion of compressible reacting fluids.
The flow is governed by the Navier–Stokes in Eulerian coordinates and the chemical reaction …

Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems

D Donatelli, P Marcati - Transactions of the American Mathematical Society, 2004 - ams.org
In this paper we investigate the diffusive zero-relaxation limit of the following multi-D semilinear
hyperbolic system in pseudodifferential form:\[W_ {t}(x, t)+\frac {1}{\varepsilon} A (x, D) W (…

Quasi-neutral limit, dispersion, and oscillations for Korteweg-type fluids

D Donatelli, P Marcati - SIAM Journal on Mathematical Analysis, 2015 - SIAM
In the setting of general initial data and the whole space we perform a rigorous analysis of
the quasi-neutral limit for a hydrodynamical model of a viscous plasma with capillarity tensor …

Low Mach number limit for the quantum hydrodynamics system

D Donatelli, P Marcati - Research in the Mathematical Sciences, 2016 - Springer
In this paper, we deal with the low Mach number limit for the system of quantum hydrodynamics,
far from the vortex nucleation regime. More precisely, in the framework of a periodic …

Singular convergence of nonlinear hyperbolic chemotaxis systems to Keller--Segel type models

M Di Francesco, D Donatelli - arXiv preprint arXiv:0807.3852, 2008 - arxiv.org
In this paper we deal with diffusive relaxation limits of nonlinear systems of Euler type modeling
chemotactic movement of cells toward Keller--Segel type systems. The approximating …