One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case - Archive ouverte HAL Access content directly
Conference Papers Year : 2014

One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case

Abstract

The note presents the results of the recent work \cite{AS-Tran} of K. Sbihi and the author on existence and uniqueness of entropy solutions for boundary-value problem for conservation law $u_t+\ph(u)_x=0$ (here, we focus on the simplified one-dimensional setting). Then, using nonlinear semigroup theory, we extend these well-posedness results to the case of spatially dependent flux $\ph(x,u)$.
Fichier principal
Vignette du fichier
ProcPadova2012-final.pdf (296.15 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00761664 , version 1 (05-12-2012)
hal-00761664 , version 2 (19-07-2013)

Licence

Attribution - NonCommercial - CC BY 4.0

Identifiers

  • HAL Id : hal-00761664 , version 2

Cite

Boris Andreianov. One-dimensional conservation law with boundary conditions: general results and spatially inhomogeneous case. HYP2012 conference in Padova, Jun 2012, Padua, Italy. pp. 259-267. ⟨hal-00761664v2⟩
329 View
465 Download

Share

Gmail Facebook Twitter LinkedIn More