Original scientific paper

https://doi.org/10.3336/gm.55.1.09

Scalar conservation laws with Charatheodory flux revisited

Nikola Konatar ; Department of Natural Sciences and Mathematics, Faculty of Mathematics and Natural Sciences, University of Montenegro, Džordža Vašingtona bb, 81000 Podgorica, Crna Gora

Abstract

We introduce a new approach for dealing with scalar conservation laws with the flux discontinuous with respect to the space variable and merely continuous with respect to the state variable which employs a variant of the kinetic formulation. We use it to improve results about the existence of solutions for non-degenerate scalar conservation laws with Caratheodory flux under a variant of non-degeneracy conditions.

Keywords

Multidimensional scalar conservation law; discontinuous flux; existence; kinetic formulation; Caratheodory flux

Hrčak ID:

239050

URI

https://hrcak.srce.hr/239050

Publication date:

12.6.2020.

Visits: 704 *