The initial-boundary value problem for general non-local scalar conservation laws in one space dimension - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2017

The initial-boundary value problem for general non-local scalar conservation laws in one space dimension

Abstract

We prove global well-posedness results for weak entropy solutions of bounded variation (BV) of scalar conservation laws with non-local flux on bounded domains, under suitable regularity assumptions on the flux function. In particular, existence is obtained by proving the convergence of an adapted Lax-Friedrichs algorithm. Lipschitz continuos dependence from initial and boundary data is derived applying Kružhkov 's doubling of variable technique.
Fichier principal
Vignette du fichier
boundary_general.pdf (340.43 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01362504 , version 1 (08-09-2016)

Identifiers

  • HAL Id : hal-01362504 , version 1

Cite

Cristiana de Filippis, Paola Goatin. The initial-boundary value problem for general non-local scalar conservation laws in one space dimension. Nonlinear Analysis: Theory, Methods and Applications, 2017, 161, pp.131-156. ⟨hal-01362504⟩
524 View
319 Download

Share

Gmail Facebook X LinkedIn More