36 citations · 89 across the 34 of their papers we have counts for
35 papers · 1 filter
Stability of dispersive boundary layers for scalar conservation laws in one space dimension
Paolo Antonelli, Pierangelo Marcati, Laura V. Spinolo
We study the zero-dispersion limit for a class of Korteweg--de Vries (KdV)-type initial-boundary value problems on the half-line, with Dirichlet boundary conditions assigned at \(x…
Well-posedness results for the Generalized Aw-Rascle-Zhang model
Elio Marconi, Laura V. Spinolo
We establish existence, uniqueness and stability results for the so-called Generalized Aw-Rascle-Zhang model, a second order traffic model introduced by Fan, Herty and Seibold. Our…
Nonlocal Generalized Aw-Rascle-Zhang model: well-posedness and singular limit
Elio Marconi, Laura V. Spinolo
We discuss a nonlocal version of the Generalized Aw-Rascle-Zhang model, a second-order vehicular traffic model where the empty road velocity is a Lagrangian marker governed by a tr…
On multidimensional nonlocal conservation laws with BV kernels
Maria Colombo, Gianluca Crippa, Laura V. Spinolo
We establish local-in-time existence and uniqueness results for nonlocal conservation laws in several space dimensions under weak (that is, Sobolev or BV) differentiability assumpt…
An informal account of recent results on initial-boundary value problems for systems of conservation laws
Laura V. Spinolo, Fabio Ancona, Andrea Marson
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 of vanishing physical viscosity solutions of characteristic initial-boundary value problems for systems of conservation laws
Fabio Ancona, Andrea Marson, Laura V. Spinolo
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 differe…