Funding: Science Fund of the Republic of Serbia
Funding Program: PRISMA
Research field of the Project: Mathematics
Participating Scientific and Research Organizations (SROs): University of Novi Sad, Faculty of Sciences (UNSPMF)
Principal Investigator (PI): Marko Nedeljkov
Project start: 1.12.2023.
Project length: 36 months
Marko Nedeljkov has been working on partial differential equations with singularities theory for a long time. He was dealing with conservation and balance laws in continuum physics, other PDEs with singularities, approximate solutions, even unbounded ones, satisfying different kinds of admissibility conditions. In a series of papers, he invented ways how to deal with singularities (shadow wave, split delta measure, for example) in an orderly fashion.
Srđan Trifunović has been working on mathematical theory of fluids and fluid-structure interaction for the last 5 years. He has shown a high level of comprehension and innovativity throughout his work, and proven that he can carry out high-impact research. He also has valuable experience in joint research, and we believe that he is well-suited to coordinate this work package.
Danijela Rajter Ćirić has been working on PDE problems including stochastic terms and fractional derivatives. Her intuition from these areas of research and collaborative capacity could help the project.
Sanja Ružičić obtained her PhD in the area of approximate solutions and Wave Front Tracking numerical scheme.
Davor Kumozec is PhD student in numerical analysis and PDEs.
With a help of Endre Süli and his mentoring two young team members, we expect a significant part of the numerical and computational research to be done by them.