36 citations · 89 across the 34 of their papers we have counts for
37 papers
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…