Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [27 references]  Display  Hide  Download

https://hal.inria.fr/hal-01362504
Contributor : Paola Goatin <>
Submitted on : Thursday, September 8, 2016 - 10:27:50 PM
Last modification on : Thursday, May 20, 2021 - 9:12:01 AM
Long-term archiving on: : Friday, December 9, 2016 - 1:32:09 PM

File

boundary_general.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01362504, version 1

Citation

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, Elsevier, 2017, 161, pp.131-156. ⟨hal-01362504⟩

Share

Metrics

Record views

684

Files downloads

498