CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX

By Kenneth Hvistendahl Karlsen, John D. Towers. 2004

145 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/cc67bc31b1642942640275c005bb15e7eab69e64

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Paola Goatin
2. Rinaldo M. Colombo
3. Evgeny Yu. Panov
4. Florence Bachmann
5. Julien Vovelle
6. Martina Hofmanov'a
7. Alexis Vasseur
8. Panagiotis E. Souganidis

In Astronomy and Astrophysics

1. Florence Bachmann
2. Evgeny Yu. Panov
3. Julien Vovelle

In Computational Mechanics

1. Paola Goatin
2. Rinaldo M. Colombo
3. Evgeny Yu. Panov
4. Florence Bachmann
5. Julien Vovelle

Citations in the corpus

• Erratum to: Existence and Strong Pre-compactness Properties for Entropy Solutions of a First-Order Quasilinear Equation with Discontinuous Flux (2010, background): “for the case of one space variable in [6, 7 ]. Notice also that we do not require”
• A well posed conservation law with a variable unilateral constraint (2007, background): “3) in a slightly different setting than that in [4,8,9].”
• Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients (2006, background): “These estimates are particularly difficult to obtain for approximate solutions to problem (1) (in fact, it is not possible to get such BV estimates on u : one proves G u BV ≤ C G being an accurate invertible function: a Temple function—also called “singular mapping”—(Bachmann, 2004; Towers, 2001).”