5 citations · 7 across the 6 of their papers we have counts for
7 papers · 1 filter
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…
Delta shock wave and interactions in a simple model case
Marko Nedeljkov, Michael Oberguggenberger
The notion of a delta shock wave and a singular shock wave was introduced and employed by different authors, and it was shown that a large class of Riemann problems can be solved g…