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
224 1995 Partial differential equations of mathematical physics T Myint-u
CUP Archive, 1978
167 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
155 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
135 2003 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
103 1995 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
100 2005 Hyperbolic to parabolic relaxation theory for quasilinear first order systems P Marcati, B Rubino
Journal of Differential Equations 162 (2), 359-399, 2000
92 2000 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
88 2009 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
86 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
77 2003 A quasineutral type limit for the Navier–Stokes–Poisson system with large data D Donatelli, P Marcati
Nonlinearity 21 (1), 135, 2007
70 2007 Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system P Marcati, AJ Milani, P Secchi
manuscripta mathematica 60 (1), 49-69, 1988
64 1988 The relaxation to the drift-diffusion system for the 3- C Lattanzio, P Marcati
Discrete & Continuous Dynamical Systems-A 5 (2), 449, 1999
62 1999 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
56 2000 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
50 2001 The quantum hydrodynamics system in two space dimensions P Antonelli, P Marcati
Archive for Rational Mechanics and Analysis 203 (2), 499-527, 2012
49 2012 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
46 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
45 1997 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
44 2015 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
41 2004 
Roberto NataliniIstituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, CNREmail verificata su cnr.it
