3 citations · 3 across the 3 of their papers we have counts for
5 papers
Global existence of solutions for a multi-phase flow: a drop in a gas-tube
Debora Amadori, Paolo Baiti, Andrea Corli +1
In this paper we study the flow of an inviscid fluid composed by three different phases. The model is a simple hyperbolic system of three conservation laws, in Lagrangian coordinat…
Global existence of solutions for a multi-phase flow: a bubble in a liquid tube and related cases
Debora Amadori, Paolo Baiti, Andrea Corli +1
In this paper we study the problem of the global existence (in time) of weak, entropic solutions to a system of three hyperbolic conservation laws, in one space dimension, for larg…
Global weak solutions for a model of two-phase flow with a single interface
Debora Amadori, Paolo Baiti, Andrea Corli +1
We consider a simple nonlinear hyperbolic system modeling the flow of an inviscid fluid. The model includes as state variable the mass density fraction of the vapor in the fluid an…
An Instability of the Godunov Scheme
Alberto Bressan, Helge Kristian Jenssen, Paolo Baiti
We construct a solution to a strictly hyperbolic system of conservation laws, showing that the Godunov scheme \cite{Godunov59} can produce an arbitrarily large amount o…
BV instability for the Lax-Friedrichs scheme
Paolo Baiti, Alberto Bressan, Helge Kristian Jenssen
It is proved that discrete shock profiles (DSPs) for the Lax-Friedrichs scheme for a system of conservation laws do not necessarily depend continuously in BV on their speed. We con…