Well-posedness theory for nonlinear scalar conservation laws on networks

Markus Musch, Ulrik Skre Fjordholm, Nils Henrik Risebro

Type: Article

Publication Date: 2021-12-28

Citations: 14

DOI: https://doi.org/10.3934/nhm.2021025

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Locations

Networks and Heterogeneous Media - View
arXiv (Cornell University) - View - PDF
Duo Research Archive (University of Oslo) - View - PDF

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Works Cited by This (16)

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+	Uniqueness for scalar conservation laws with discontinuous flux via adapted entropies	2005	Emmanuel Audusse Benoı̂t Perthame
+	Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation	1976	Nikolai Kuznetsov
+	Riemann Solvers, the Entropy Condition, and Difference	1984	Stanley Osher
+	Global solution of the cauchy problem for a class of 2 × 2 nonstrictly hyperbolic conservation laws	1982	Blake Temple
+ PDF Chat	An Engquist–Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections	2009	Raimund Bürger Kenneth H. Karlsen John D. Towers
+ PDF Chat	Some relations between nonexpansive and order preserving mappings	1980	Michael G. Crandall Luc Tartar
+	Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux	2000	John D. Towers
+ PDF Chat	A review of conservation laws on networks	2010	Mauro Garavello
+ PDF Chat	One-sided difference approximations for nonlinear conservation laws	1981	Björn Engquist Stanley Osher
+	Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient	2002	Kenneth H. Karlsen