Convergence of a Finite Volume Scheme for Compactly Heterogeneous Scalar Conservation Laws - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Convergence of a Finite Volume Scheme for Compactly Heterogeneous Scalar Conservation Laws

Résumé

We build a finite volume scheme for the scalar conservation law $\p_t u + \p_x (H(x, u)) = 0$ with initial condition $u_o \in \L{\infty}(\R, \R)$ for a wide class of flux function $H$, convex with respect to the second variable. The main idea for the construction of the scheme is to use the theory of discontinuous flux. We prove that the resulting approximating sequence converges in $\Lloc{p}(]0,+\infty[ \times \R, \R)$, $p \in [1, +\infty[$, to the entropy solution.
Fichier principal
Vignette du fichier
GeneralConvex.pdf (737.06 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04549249 , version 1 (22-04-2024)

Identifiants

  • HAL Id : hal-04549249 , version 1

Citer

Abraham Sylla. Convergence of a Finite Volume Scheme for Compactly Heterogeneous Scalar Conservation Laws. 2024. ⟨hal-04549249⟩
11 Consultations
3 Téléchargements

Partager

Gmail Facebook X LinkedIn More