Kukavica Igor

Igor Kukavica is a Professor of Mathematics at the University of Southern California (USC), holding this position since 2004. He specializes in partial differential equations (PDEs) and mathematical fluid dynamics, focusing on topics such as the Navier-Stokes equations, free boundary problems, fluid-structure interaction, and stochastic PDEs. His research bridges theoretical analysis and applications, particularly in fluid mechanics and superfluidity.

Education: Ph.D. in Mathematics from Indiana University (1993), M.S. and B.S. in Mathematics from the University of Ljubljana (Slovenia). He also holds a Performer Diploma in Guitar from Indiana University (1992).

Research Interests: His work emphasizes the regularity theory of PDEs, inviscid limits, and the mathematical analysis of fluid dynamics. He explores boundary control, stochastic Navier-Stokes equations, and the interplay between fluid and elastic structures.

Publications: Over 200 articles, including seminal works on the Euler and Navier-Stokes equations, free boundary problems, and stochastic fluid dynamics. Recent trends include studies on analytic solutions, inviscid limits, and fluid-structure interaction models.

Awards: Recipient of the Alfred P. Sloan Fellowship (2000), Sloan Doctoral Dissertation Fellowship (1991), and the Weber and Preseren Awards for academic excellence. He has organized numerous conferences, including the Southwestern Workshop on Dynamical Systems and the MSRI semester program on fluid dynamics.

Advising and Grants: Supervised 13 Ph.D. students and mentored postdoctoral researchers. His grants and collaborations span fluid dynamics, PDEs, and stochastic analysis. Active in editorial roles for journals such as AIMS Mathematics and Applied Mathematics and Optimization.

Labs/Teams: Collaborates with researchers globally, including at the Courant Institute, Caltech, and institutions in China and Europe. His work often involves interdisciplinary teams addressing complex fluid dynamics challenges.