Rafayel Teymurazyan
Rafayel Teymurazyan works on nonlinear partial differential equations and free boundary problems arising from applications in bio-technologies, chemical engineering, financial mathematics, and optimal design, among others.
Biography
Rafayel Teymurazyan obtained his PhD in Mathematics from the University of Lisbon (Portugal) in 2013. After postdoc and research positions at the Federal University of Ceará (Brazil), the University of Texas at Austin (USA) and the University of Coimbra (Portugal), he joined KAUST in May of 2023. He works on regularity theory for nonlinear PDEs and the mathematical analysis of free boundary problems.
Research Interests
Rafayel Teymurazyan works on nonlinear partial differential equations (PDEs) and free boundary problems. The term free boundary problem (FBP) refers to a PDE to be solved both for an unknown function and for an unknown domain. FBPs arise in range of mathematical models that are used to describe a physical or biological phenomenon (for example, ice melting into water, population dynamics), or an economical or financial occurrence (American options, stock markets).
About
Selected publications
D.J. Araújo, R. Teymurazyan and V. Voskanyan, Sharp regularity for singular obstacle problems, Math. Ann. 387 (2023), 1367-1401.
L.A. Caffarelli, R. Teymurazyan and J.M. Urbano, Fully nonlinear integro-differential equations with deforming kernels, Comm. Partial Differential Equations 45 (2020), 847-871.
E.V. Teixeira and R. Teymurazyan, Optimal design problems with fractional diffusions, J. Lond. Math. Soc. (2) 92 (2015), 338-352.
Positions held
2014 -- researcher, University of Coimbra, Portugal.
2016 - 2018 visiting researcher, University of Texas at Austin, TX, USA.
2013 - 2014 researcher, Federal University of Ceará, Fortaleza, Brazil.
2012 - 2013 researcher, University of Lisbon, Portugal.
Education
- PhD (Dr. rer. nat.)
- Mathematics, University of Lisbon, Portugal, 2013