CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS

Journal of Hyperbolic Differential Equations

Volumn 2, Issue 1, 2005, Pages 91-107

  Bolley, François ^a   Brenier, Yann ^b   Loeper, Grégoire ^c  

^a UNITÉ DE MATHÉMATIQUES PURES ET APPLIQUÉES   (France)

^b CNRS   (France)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

Conservation laws; entropy solutions; Wasserstein distance

Indexed keywords

EID: 85189441176     PISSN: 02198916     EISSN: 17936993     Source Type: Journal    
DOI: 10.1142/S0219891605000397     Document Type: Article

References (6)

1. Y. Brenier, Résolution d’équations d’évolution quasilinéaires en dimension N d’espace à l’aide d’équations linéaires en dimension N + 1, J. Diff. Eq. 50(3) (1983) 375–390.
2. Y. Brenier and E. Grenier, Sticky particles and scalar conservation laws, SIAM J. Numer. Anal. 35(6) (1998) 2317–2328.
3. L. Hörmander, Lectures on Nonlinear Hyperbolic Differential Equations, Mathematics & Applications, Vol. 26 (Springer, Berlin, 1997).
4. S. Kružkov, Generalized solutions of the Cauchy problem in the large for first order nonlinear equations, Dokl. Akad. Nauk. SSSR 187 (1969) 29–32.
5. D. Serre, Systems of Conservation Laws I (Cambridge University Press, Cambridge, 1999).
6. C. Villani, Topics in Optimal Transportation, Grad. Stud. Math., Vol. 58 (American Mathematical Society, Providence, 2003).