Behrouz Emami Zadeh 

Behrouz Emamizadeh finished high school at Milford Academy, Connecticut, in 1979. In the following year he registered at UMass-Amherst ending up with a BSc in mathematics in 1983. From 1983 to 1988 he was a PhD student at Purdue University-West Lafayette. After a long delay he finished his PhD in Mathematics at Bath, in 1998. From 1988 to 1995 he was a lecturer at Iran University of Science and Technology; he spent most of 1996 at Newton Institute, Cambridge University; from 2000 to 2004 he became a resident researcher at the Institute for Theoretical Physics and Mathematics in Tehran, and from 2004 to 2010 he worked for an oil company called Abu Dhabi National Oil Company (ADNOC). Then he a took a brief break (4 months!) in Kuala Lumpur before moving to XJTLU in 2011 as the Director of the Applied Mathematics Programme. Behrouz Joined UNNC in August of 2013, and currently he is a professor of Mathematics and Head of School of Mathematical Sciences. At Purdue his research was in the area of Classical Analysis and at Bath he switched to Partial Differential Equations. Since graduation he has authored or coauthored a few papers in Analysis with majority of them involving differential equations of elliptic type. Behrouz is a husband, father and a grandfather. His hobbies are reading, walking and listening to classical music.

Overdetermined problems - Part I

In a series of lectures I will talk about some overdetermined problems in partial differential equations. These lectures by no means will cover all the works in the literature but provide a glimpse of this increasingly becoming popular area of research. An overdetermined problem is referred to a boundary value problem with an extra boundary condition. For the problem to have a solution the domain of interest must be a ball. I believe there is a consensus in the math community that there are two well developed approaches to prove radial symmetry of the domain. The first one is attributed to James Serrin, called the moving plane method, and the second one is attributed to Hans Weinberger, which bears no particular label, but usually they call it the Weinberger’s approach. I will focus on the second one which is technical but entertaining. In the first lecture I will look at the Torsion Problem, and show how one can use Pohozaev’s famous identity (1965) to derive formulas which are crucial to employ Weinberger’s approach. Frankly, I am still puzzled why they didn’t use Pohozaev’s identity in their proofs. Anyhow, to be able to follow the lectures it helps to know vector Calculus, and elements of Functional Analysis and Partial Differential Equations.