Blar i Department of Mathematics på forfatter "Mitrovic, Darko"
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Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
Kalisch, Henrik; Mitrovic, Darko; Teyekpiti, Vincent (Peer reviewed; Journal article, 2018-10-30) -
Non-standard shocks in the Buckley-Leverett equation
Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2015-08)It is shown how delta shock waves which consist of Dirac delta distributions and classical shocks can be used to construct non-monotone solutions of the Buckley–Leverett equation. These solutions are interpreted using a ... -
On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws
Kalisch, Henrik; Mitrovic, Darko (Journal article; Peer reviewed, 2022)A weak notion of solution for systems of conservation laws in one dimension is put forward. In the framework introduced here, it can be shown that the Cauchy problem for any n×n system of conservation laws has a solution. ...