P
Pierangelo Marcati
Researcher at University of L'Aquila
Publications - 129
Citations - 2797
Pierangelo Marcati is an academic researcher from University of L'Aquila. The author has contributed to research in topics: Quantum hydrodynamics & Hyperbolic partial differential equation. The author has an hindex of 26, co-authored 125 publications receiving 2506 citations. Previous affiliations of Pierangelo Marcati include University of Maryland, College Park & University of Trento.
Papers
More filters
Journal ArticleDOI
Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation
TL;DR: In this paper, the authors investigated the relaxation problem for the hydrodynamic isentropic Euler-Poisson system when the momentum relaxation time tends to zero and obtained very sharp estimates on the solutions, independent of the relaxation time.
Journal ArticleDOI
The One-Dimensional Darcy's Law as the Limit of a Compressible Euler Flow
Pierangelo Marcati,Albert Milani +1 more
Journal ArticleDOI
Convergence to the Barenblatt Solution for the Compressible Euler Equations with Damping and Vacuum
TL;DR: In this paper, the authors studied the asymptotic behavior of a compressible isentropic flow through a porous medium when the initial mass is finite, and they proved that any L∞ weak entropy solution to the Cauchy problem of damped Euler equations with finite initial mass converges, strongly in Lp with decay rates, to matching Barenblatt's profile of the porous medium equation.
Journal ArticleDOI
The Lp–Lq estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
TL;DR: In this article, the authors obtained the Lp-Lq estimates of solutions to the Cauchy problem for one-dimensional damped wave equation and applied them to nonlinear problems.
Journal ArticleDOI
On the Finite Energy Weak Solutions to a System in Quantum Fluid Dynamics
TL;DR: In this paper, the authors consider the global existence of weak solutions to a class of Quantum Hydrodynamics (QHD) systems with initial data, arbitrarily large in the energy norm.