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Abstract
Free boundary problems emerge naturally in mathematical models representing physical, biological, or financial phenomena, such as ice melting, population dynamics, or stock market behavior. These problems involve solving partial differential equations for both an unknown function and an unknown domain. This talk will explore several free boundary problems and different methods to address them.
Brief Biography
Rafayel Teymurazyan obtained his PhD in Mathematics from the University of Lisbon, Portugal, in 2013. Following postdoctoral and research positions at the Federal University of Ceará in Brazil, the University of Texas at Austin in the USA, and the University of Coimbra in Portugal, he joined KAUST in May 2023. His research focuses on regularity theory for nonlinear partial differential equations and the mathematical analysis of free boundary problems.
