Björn Gustafsson

Peter Gottschalk

Professor & Chair Department of Religion Peter Gottschalk

Bjorn A. Gustafsson

Edward E. Palmer

Born Gustafsson

Development of (in)equality over the past two decades in 15 industrial countries.

An Economic Perspective

Changing Patterns in the Distribution of Economic Welfare

Yu-Lin Lin

This book studies solutions of the Polubarinova–Galin and Löwner–Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved. When the mapping function is no longer locally univalent interesting phase transitions take place, leading to structural changes in the data of the solution, for example new zeros and poles in the case of rational maps. This topic intersects with several areas, including mathematical physics, potential theory and complex analysis. The text will be valuable to researchers and doctoral students interested in fluid dynamics, integrable systems, and conformal field theory.

Laplacian Growth on Branched Riemann Surfaces

Alexander Vasil'ev

Our knowledge of objects of complex and potential analysis has been enhanced recently by ideas and constructions of theoretical and mathematical physics, such as quantum field theory, nonlinear hydrodynamics, material science. These are some of the themes of this refereed collection of papers, which grew out of the first conference of the European Science Foundation Networking Programme 'Harmonic and Complex Analysis and Applications' held in Norway 2007.

Analysis and Mathematical Physics

This monograph presents recent and new ideas arising from the study of problems of planar fluid dynamics, and which are interesting from the point of view of geometric function theory and potential theory. the book is concerned with geometric problems for Hele-Shaw flows. Additionally, Hele-Shaw flows on parameter spaces are discussed, and connections with string theory are revealed. Assumes a graduate level understanding of real and complex analysis, and fluid mechanics.

Conformal and Potential Analysis in Hele-Shaw Cells

Alexander Vasiliev

Aims at giving a presentation of ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. This book is concerned with geometric problems for Hele-Shaw flows.

Mihai Putinar

Peter Ebenfelt

Dmitry Khavinson

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.

Björn Gustafsson

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