Thesis supervisor: János Karátson
Location of studies (in Hungarian): Department of Analysis Abbreviation of location of studies: BME
Description of the research topic:
Maximum principles and related qualitative properties are important measures of the validity of the mathematical or numerical model of real-life phenomena. Such typical properties for elliptic and parabolic partial differential equations (PDEs) are maximum–minimum principles, nonnegativity or nonpositivity preservation and maximum norm contractivity. These properties have been explored recently for certain types of PDEs. The goal of this research is to establish related results for various further PDE models, such as convection-reaction diffusion equations involving nonsymmetric terms, systems of PDEs of the above type, and problems with boundary nonlinearities. Both the PDE model and its finite element (FEM) solutions should be analyzed.
Required language skills: English Further requirements: A solid background in the theory and numerical methods for partial differential equations. Programming skills in Matlab. A good level of English knowledge.
Number of students who can be accepted: 1
Deadline for application: 2024-05-31
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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