5 citations · 7 across the 6 of their papers we have counts for
8 papers
Maximal entropy dissipation numerical scheme for conservation law systems
Marko Nedeljkov
This paper presents a numerical finite volume method for conservation law systems that are adapted to the principle of maximal dissipation. The general assumptions are the existenc…
Shadow wave solutions for a scalar two-flux conservation law with Rankine-Hugoniot deficit
Tanja Krunić, Marko Nedeljkov
The paper deals with scalar conservation laws having a flux discontinuity at without a weak solution that satisfies the classical Rankine--Hugoniot jump condition at . W…
Energy dissipation admissibility condition for conservation law systems admitting singular solutions
Marko Nedeljkov, Sanja Ružičić
The main goal of the paper is to define and use a condition sufficient to choose a unique solution to conservation law systems with a singular measure in initial data. Different ap…
Shadow wave tracking procedure and initial data problem for pressureless gas model
Marko Nedeljkov, Sanja Ružičić
In this paper the new procedure for a construction of an approximated solution to initial data problem for one-dimensional pressureless gas dynamics system is introduced. The proce…
Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions
Marko Nedeljkov, Lukas Neumann, Michael Oberguggenberger +1
Radially symmetric shadow wave solutions to the system of multidimensional pressureless gas dynamics are introduced, which allow one to capture concentration of mass. The transform…
Delta shock wave interactions via wave front tracking method
Nebojsa Dedovic, Marko Nedeljkov
In this paper we discuss delta shock interaction problem for a pressureless gas dynamics system with two different ways of approaching the subject. The first one is by using shadow…