Thesis supervisor: Mihály Kovács
co-supervisor: Gábor Szederkényi
Location of studies (in Hungarian): PPKE ITK Abbreviation of location of studies: ITK
Description of the research topic:
In many application fields such as physics, biology or transportation, certain fundamental flow models are written in the form of nonlinear partial differential equations. In these PDEs, we can take into consideration non-local conservation laws. The aim of the research is the theoretical and computational analysis of such models, and the construction of novel control approaches. During the research, we examine the existence and uniqueness of the solutions and the possibilities for extending the model class to network structures. The spatially discretized model will be analyzed using the theories of biologically motivated, nonnegative, compartmental and kinetic systems. One of the research goals is the computation of new (e.g., optimal) control solutions using the advantageous mathematical properties of the compartmental representation.
Required language skills: English Number of students who can be accepted: 1
Deadline for application: 2023-01-31
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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