Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation P Marcati, R Natalini Archive for rational mechanics and analysis 129 (2), 129-145, 1995 | 233 | 1995 |

Partial differential equations of mathematical physics T Myint-u CUP Archive, 1978 | 173 | 1978 |

The one-dimensional Darcy's law as the limit of a compressible Euler flow P Marcati, A Milani Journal of Differential Equations 84 (1), 129-147, 1990 | 157 | 1990 |

The Lp–Lq estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media P Marcati, K Nishihara Journal of Differential Equations 191 (2), 445-469, 2003 | 141 | 2003 |

Convergence to the Barenblatt solution for the compressible Euler equations with damping and vacuum F Huang, P Marcati, R Pan Archive for rational mechanics and analysis 176 (1), 1-24, 2005 | 107 | 2005 |

Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem P Marcati, R Natalini Proceedings of the Royal Society of Edinburgh Section A: Mathematics 125 (1 …, 1995 | 106 | 1995 |

On the finite energy weak solutions to a system in quantum fluid dynamics P Antonelli, P Marcati Communications in mathematical physics 287 (2), 657, 2009 | 97 | 2009 |

Hyperbolic to parabolic relaxation theory for quasilinear first order systems P Marcati, B Rubino Journal of Differential Equations 162 (2), 359-399, 2000 | 93 | 2000 |

Existence and asymptotic behavior of multi-dimensional quantum hydrodynamic model for semiconductors H Li, P Marcati Communications in mathematical physics 245 (2), 215-247, 2004 | 89 | 2004 |

Global well-posedness and relaxation limits of a model for radiating gas C Lattanzio, P Marcati Journal of Differential Equations 190 (2), 439-465, 2003 | 80 | 2003 |

A quasineutral type limit for the Navier–Stokes–Poisson system with large data D Donatelli, P Marcati Nonlinearity 21 (1), 135, 2007 | 71 | 2007 |

The relaxation to the drift-diffusion system for the 3- isentropic Euler-Poisson model for semiconductors C Lattanzio, P Marcati Discrete & Continuous Dynamical Systems-A 5 (2), 449, 1999 | 63 | 1999 |

Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system P Marcati, AJ Milani, P Secchi manuscripta mathematica 60 (1), 49-69, 1988 | 63 | 1988 |

Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping P Marcati, M Mei Quarterly of Applied Mathematics 58 (4), 763-784, 2000 | 57 | 2000 |

The quantum hydrodynamics system in two space dimensions P Antonelli, P Marcati Archive for Rational Mechanics and Analysis 203 (2), 499-527, 2012 | 56 | 2012 |

The combined relaxation and vanishing Debye length limit in the hydrodynamic model for semiconductors I Gasser, P Marcati Mathematical methods in the applied sciences 24 (2), 81-92, 2001 | 51 | 2001 |

Well/ill posedness for the Euler-Korteweg-Poisson system and related problems D Donatelli, E Feireisl, P Marcati Communications in Partial Differential Equations 40 (7), 1314-1335, 2015 | 50 | 2015 |

Optimal convergence rates to diffusion waves for solutions of the hyperbolic conservation laws with damping P Marcati, M Mei, B Rubino Journal of Mathematical Fluid Mechanics 7 (2), S224-S240, 2005 | 49 | 2005 |

The zero relaxation limit for the hydrodynamic Whitham traffic flow model C Lattanzio, P Marcati Journal of differential equations 141 (1), 150-178, 1997 | 49 | 1997 |

Convergence of singular limits for multi-D semilinear hyperbolic systems to parabolic systems D Donatelli, P Marcati Transactions of the American Mathematical Society 356 (5), 2093-2121, 2004 | 42 | 2004 |