Glasnik matematički, Vol. 55 No. 1, 2020.
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
Publication date:
12.6.2020.
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