Partial Differential Equations and General Relativity

Uwe Brauer (Universidad Complutense de Madrid, Spain), Lavi Karp, Haggai Katriel, Oleg Kelis, Yakov Lutsky, Victor Ostrovki, Vladimir Rabinovich (Instituto Politécnico Nacional, Mexico), Michael Reissig (TU Bergakademie Freiberg, Germany), Vladimir Rovenski (University of Haifa, Israel) and Henrik Shahgholian (Kungliga Tekniska högskolan, Sweden).
The subject of general relativity has long been of interest in both mathematics and physics and is a rich source of problems in both global and nonlinear partial differential equations. Our main studies deal with Einstein-Euler systems that describe relativistic self-gravitating perfect fluids and modeling of isolated systems such as stars. The group also studies the following areas. Inverse problems at potential theory, free boundary problems, Hele-Shaw flows, Pseudodifferential operators with applications to elliptic and parabolic partial differential equations, Mathematical models for hydrodynamics and biological phenomena.
Keywords: Einstein equations, nonlinear PDE, pseudodifferential operators, potential theory, free boundary problems