معرفی
Igor Kukavica is a Professor of Mathematics at the University of Southern California (USC), where he has held academic positions since 1997. His research focuses on partial differential equations, particularly mathematical fluid dynamics, and their applications in fluid-structure interaction and nonlinear analysis.
Education:
- Ph.D. in Mathematics, Indiana University, 1993 (Advisor: Ciprian Foias)
- Performer Diploma in Guitar, Indiana University, 1992
- M.S. in Mathematics, University of Ljubljana, Slovenia, 1988 (Advisor: Matjaž Omladič)
- B.S. in Mathematics, University of Ljubljana, Slovenia, 1986 (Advisor: Matjaž Omladič)
Research Interests:
Kukavica’s work centers on the theoretical analysis of fluid dynamics equations, including the Navier-Stokes and Euler equations. He explores topics such as free boundary problems, inviscid limits, and stochastic fluid models. His contributions include studies on global existence, regularity, and controllability of solutions in complex fluid systems.
Recent Contributions:
His recent publications address analytical properties of fluid equations, such as the local analyticity of Euler solutions and the inviscid limit for Navier-Stokes equations. He has also contributed to fluid-structure interaction models and stochastic Navier-Stokes systems.
Awards:
- Alfred P. Sloan Fellowship (2000)
- Preseren Award, University of Ljubljana (1987)
Teaching & Mentorship:
Kukavica has taught advanced courses in analysis, PDEs, and probability at USC. He has mentored over 12 Ph.D. students, including Vlad Vicol (Courant Institute) and Mihaela Ignatova (Temple University). Current advisees include Linfeng Li and Mustafa Aydin.
Service:
He serves on editorial boards of journals like AIMS Mathematics and Applied Mathematics and Optimization, and has co-organized major conferences such as the MSRI semester on Mathematical Problems in Fluid Dynamics (2021).
