Solutions of Hamilton–Jacobi Equations and Scalar Conservation Laws with Discontinuous Space–Time Dependence

By Daniel N. Ostrov. 2002

48 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e63f580e9fc96c2506c889e29697e7f5328e69cb

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. Kenneth Hvistendahl Karlsen
2. John D. Towers
3. Espen Robstad Jakobsen
4. Gui-Qiang G. Chen
5. Zhaoyang Yin
6. Mario Ohlberger
7. Evgeny Yu. Panov
8. Adina Ciomaga

In Mathematical Physics

1. Kenneth Hvistendahl Karlsen
2. John D. Towers
3. Zhaoyang Yin
4. Giuseppe Maria Coclite

Citations in the corpus

• OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS (2005, unknown): “the characteristics diverge from the interface x =0 . (2) The solution obtained by Adimurthi and Gowda [1], Ostrov [ 31 ] and Kaaschieter [17] is only marginally undercompressive with the characteristics on the left hitting the initial line.”
• CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX (2004, background): “We would like to stress that the existence result given herein holds under conditions that are significantly more general than those needed for the existence results in [27, 5].”
• A Hamilton-Jacobi approach to junction problems and application to traffic flows (2011, unknown): “Moreover, the link between HJB equations and conservation laws with discontinuous has been seldom investigated [29].”