Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Garavello, Mauro"'
We consider the p-system in Eulerian coordinates on a star-shaped network. Under suitable transmission conditions at the junction and dissipative boundary conditions in the exterior vertices, we show that the entropy solutions of the system are expon
Externí odkaz:
http://arxiv.org/abs/2407.21137
Autor:
Bayen, Alexandre, Delle Monache, Maria Laura, Garavello, Mauro, Goatin, Paola, Piccoli, Benedetto
Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different type
Externí odkaz:
https://library.oapen.org/handle/20.500.12657/54425
We present a unified framework ensuring well posedness and providing stability estimates to a class of Initial Boundary Value Problems for renewal equations comprising a variety of biological or epidemiological models. This versatility is achieved co
Externí odkaz:
http://arxiv.org/abs/2301.01539
This paper deals with the Cauchy Problem for a PDE-ODE model, where a system of two conservation laws, namely the Two-Phase macroscopic model, is coupled with an ordinary differential equation describing the trajectory of an autonomous vehicle (AV),
Externí odkaz:
http://arxiv.org/abs/2212.02884
Autor:
Garavello, Mauro, Rossi, Elena
In this paper we consider optimal control problems for a parabolic system modeling a therapy, based on oncolytic viruses, for the glioma brain cancer. Using several techniques typical of functional analysis, we prove the global in time well posedness
Externí odkaz:
http://arxiv.org/abs/2212.01064
Consider the coupling of $2$ evolution equations, each generating a global process. We prove that the resulting system generates a new global process. This statement can be applied to differential equations of various kinds. In particular, it also yi
Externí odkaz:
http://arxiv.org/abs/2211.01853
Autor:
Colombo, Rinaldo M., Garavello, Mauro
Publikováno v:
Acta Biotheoretica, 71:1, 2023
We propose a framework for the description of the effects of vaccinations on the spreading of an epidemic disease. Different vaccines can be dosed, each providing different immunization times and immunization levels. Differences due to individuals' a
Externí odkaz:
http://arxiv.org/abs/2112.14626
Autor:
Colombo, Rinaldo M., Garavello, Mauro
SIR models, also with age structure, can be used to describe the evolution of an infective disease. A vaccination campaign influences this dynamics immunizing part of the susceptible individuals, essentially turning them into recovered individuals. W
Externí odkaz:
http://arxiv.org/abs/1910.07389
Publikováno v:
Journal of Differential Equations, Elsevier
Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this paper, we pr
Externí odkaz:
http://arxiv.org/abs/1910.04021
The paper proposes a general framework to analyze control problems for conservation law models on a network. Namely we consider a general class of junction distribution controls and inflow controls and we establish the compactness in $L^1$ of a class
Externí odkaz:
http://arxiv.org/abs/1803.07142