Mahir Hadžić

Mahir Hadžić

Graduate Student
Division of Applied Mathematics,
Brown University

Office : Room 020, 182 George St.
Phone : 401-863-3113
Email : hadzic at dam dot brown dot edu

I come from Bosnia and Herzegovina. I obtained a B.Sc.-degree in mathematics from the Department of Mathematics at the University of Vienna , Austria.
Here is my CV .

The areas of my research are in the field of nonlinear partial differential equations. I have been primarily concerned with two different types of problems: free boundary problems arising in the mathematical description of phase transitions - the so called Stefan problem with surface tension - and kinetic equations arising in the description of the dynamics of galaxies - the so called Vlasov-Poisson and the relativstic Vlasov-Poisson system.

Research interests

Partial differential equations. Differential geometry. Mathematical problems in phase transitions, kinetic theory and relativity theory.

Advisor: Yan Guo

List of publications

A constraint variational problem arising in stellar dynamics.
Quart. Appl. Math. 65, 145-153 (2007)
arXiv:math-ph/0603025v1
(with Gerhard Rein )
Global existence and nonlinear stability for the relativistic Vlasov-Poisson system in the gravitational case.
Indiana Univ. Math. J. 56, 2453-2488 (2007)
The original publication is available here.
arXiv:math-ph/0607012v1
(with Yan Guo )
Stability in the Stefan problem with surface tension (I).
To appear in Commun. Partial Differential Eqns.
arXiv:0801.1083v1
(with Yan Guo )
Stability in the Stefan problem with surface tension (II).
Submitted
arXiv:0905.3600
Stability and instability in the Stefan problem with surface tension in arbitrary dimensions.
In preparation

Past Teaching

Spring 2008: Teaching Assistant.
Course: AM33 - Methods of Applied Mathematics I.
Instructor: Prof. Yan Guo

Fall 2007: Teaching Assistant.
Course: AM35 - Methods of Applied Mathematics I.
Instructor: Prof. Hongjie Dong