Martin Lazar, Darko Mitrovic
We prove existence of solutions to Cauchy problem for scalar conservation laws with non-degenerate discontinuous flux
where for every , the flux and , additionally satisfying , for some and every , and, for every , where is the space of Radon measures. Moreover, the function s is measurable and both f and s satisfy certain growth rate assumptions with respect to . The result is obtained by means of the H-measures.
Submitted May 18, 2016. Published December 22, 2016.
Math Subject Classifications: 35L65.
Key Words: Scalar conservation law; discontinuous coefficient; existence; velocity averaging; H-measure.
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| Martin Lazar |
University of Dubrovnik, Croatia
| Darko Mitrović |
Faculty of Mathematics
University of Montenegro
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