3 papers
math.AP2025
Spherically symmetric collapsing solution in the form of shadow wave
Marko Nedeljkov, Sanja Ružičić
This paper deals with isothermal Euler-Poisson system which is used to model collapse of self-gravitating Newtonian star. Density dependent viscosity term is added on the right-han…
math.AP2025
Maximal dissipation and shallow water flow -- the dam-break problem
Dalal Daw, Marko Nedeljkov, Sanja Ružičić
The shallow water system with a bed jump describes a fluid flow over a dam, represented by a simple step function with the Riemann initial data is such that the vacuum is on the ri…
math.AP2019
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…