Zobrazeno 1 - 10
of 172
pro vyhledávání: '"Ancona, Fabio"'
In this note we discuss the SBV-regularity for a scalar balance law in one space dimension as a case study in order to explain the strategy that we apply in a separate paper to general hyperbolic systems of balance laws in one space dimension. While
Externí odkaz:
http://arxiv.org/abs/2409.06095
We prove that vanishing viscosity solutions to smooth non-degenerate systems of balance laws having small bounded variation, in one space dimension, must be functions of special bounded variation. For more than one equation, this is new also in the c
Externí odkaz:
http://arxiv.org/abs/2409.06087
Autor:
Ancona, Fabio, Talamini, Luca
We consider a scalar conservation law with a spatially discontinuous flux at a single point $x=0$, and we study the initial data identification problem for $AB$-entropy solutions associated to an interface connection $(A,B)$. This problem consists in
Externí odkaz:
http://arxiv.org/abs/2408.00472
For networked systems, Persistent Excitation and Integral Scrambling Condition are conditions ensuring that communication failures between agents can occur, but a minimal level of service is ensured. We consider cooperative multi-agent systems satisf
Externí odkaz:
http://arxiv.org/abs/2407.10306
This note aims at providing a rather informal and hopefully accessible overview of the fairly long and technical work [4]. In that paper, the authors established new global-in-time existence results for admissible solutions of nonlinear systems of co
Externí odkaz:
http://arxiv.org/abs/2405.02096
For a scalar conservation law with strictly convex flux, by Oleinik's estimates the total variation of a solution with initial data $\overline{u}\in \bf{L}^\infty(\mathbb R)$ decays like $t^{-1}$. This paper introduces a class of intermediate domains
Externí odkaz:
http://arxiv.org/abs/2404.10905
Autor:
Ancona, Fabio, Talamini, Luca
Consider a scalar conservation law with a spatially discontinuous flux at a single point x=0, and assume that the flux is uniformly convex when x\neq 0. Given an interface connection (A,B), we define a backward solution operator consistent with the c
Externí odkaz:
http://arxiv.org/abs/2404.00116
We consider the Follow-the-Leader (FtL) model and study which properties of the initial positioning of the vehicles ensure its convergence to the classical Lighthill-Whitham-Richards (LWR) model for traffic flow. Robustness properties of both FtL and
Externí odkaz:
http://arxiv.org/abs/2403.11526
We prove that a first-order cooperative system of interacting agents converges to consensus if the so-called Persistence Excitation condition holds. This condition requires that the interaction function between any pair of agents satisfies an integra
Externí odkaz:
http://arxiv.org/abs/2403.07549
We consider initial boundary-value problems for nonlinear systems of conservation laws in one space variable. It is known that in general different viscous mechanisms yield different solutions in the zero-viscosity limit. Here we focus on the most te
Externí odkaz:
http://arxiv.org/abs/2401.14865