The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions

Author:

Andreianov Boris,Cancès Clément

Funder

Young Researchers project CoToCoLa of the French ANR agency

GNR MoMaS

CNRS-2439

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference17 articles.

1. Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model;Bürger;Netw. Heterog. Media,2008

2. B. Andreianov, C. Cancès, Vanishing capillarity solutions of Buckley–Leverett equation with gravity in two-rocks’ medium, HAL: hal-00631584, 2011. URL http://hal.archives-ouvertes.fr/hal-00631584/fr/.

3. Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. I. Convergence to the optimal entropy solution;Cancès;SIAM J. Math. Anal.,2010

4. Asymptotic behavior of two-phase flows in heterogeneous porous media for capillarity depending only on space. II. Nonclassical shocks to model oil-trapping;Cancès;SIAM J. Math. Anal.,2010

5. Solving the Buckley–Leverett equation with gravity in a heterogeneous porous medium;Kaasschieter;Comput. Geosci.,1999

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