Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Caravenna, Laura"'
We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent lack of interaction. We prove a new condition ensuring consensus: we define a graph in which directed arrows correspond
Externí odkaz:
http://arxiv.org/abs/2410.10486
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
We consider a *continuous* solution $u$ of the balance law \[ \partial_{\mathit t} u + \partial_{\mathit x} (f(u)) = g\] in one space dimension, where the flux function $f$ is of class $C^2$ and the source term $g$ is bounded. This equation admits an
Externí odkaz:
http://arxiv.org/abs/2401.03544
H\'older regularity of continuous solutions to balance laws and applications in the Heisenberg group
We prove H\"older regularity of any continuous solution $u$ to a $1$-D scalar balance law $u_t + [f(u)]_x = g$, when the source term $g$ is bounded and the flux $f$ is nonlinear of order $\ell \in \mathbb{N}$ with $\ell \ge 2$. For example, $\ell = 3
Externí odkaz:
http://arxiv.org/abs/2311.14518
We consider a $2\times 2$ system of hyperbolic balance laws, in one-space dimension, that describes the evolution of a granular material with slow erosion and deposition. The dynamics is expressed in terms of the thickness of a moving layer on top an
Externí odkaz:
http://arxiv.org/abs/2205.06174
Publikováno v:
Systems & Control Letters, Volume 158, 2021
The evoluted set is the set of configurations reached from an initial set via a fixed flow for all times in a fixed interval. We find conditions on the initial set and on the flow ensuring that the evoluted set has negligible boundary (i.e. its Lebes
Externí odkaz:
http://arxiv.org/abs/2107.06739
Autor:
Caravenna, Laura, Crippa, Gianluca
We prove a Lipschitz extension lemma in which the extension procedure simultaneously preserves the Lipschitz continuity for two non-equivalent distances. The two distances under consideration are the Euclidean distance and, roughly speaking, the geod
Externí odkaz:
http://arxiv.org/abs/1812.06817
The paper describes the qualitative structure of BV entropy solutions of a strictly hyperbolic system of balance laws with characteristic fields either piecewise genuinely nonlinear or linearly degenerate. In particular, we provide an accurate descri
Externí odkaz:
http://arxiv.org/abs/1803.01889
Autor:
Caravenna, Laura, Crippa, Gianluca
We deal with the uniqueness of distributional solutions to the continuity equation with a Sobolev vector field and with the property of being a Lagrangian solution, that means transported by a flow of the associated ordinary differential equation. We
Externí odkaz:
http://arxiv.org/abs/1608.04324