Mahir Hadžić
Senior Lecturer in Analysis

Department of Mathematics
King's College London
Strand, London WC2R 2LS
Office : S4.11
Phone : +44 (0)20 7848 7126
Email : mahir.hadzic at kcl dot ac dot uk
I obtained my Ph.D.degree from the Division
of Applied Mathematics,
Brown University in May 2010 under the
supervision of Professor
Yan Guo. From 2010 to 2013 I was a C.L.E. Moore Instructor at the Department of Mathematics, Massachusetts Institute of Technology.
During the 20102011 academic year I was on a leave as a Postdoc at the University of Zurich under the mentorship of Professor Camillo DeLellis.
Curriculum Vitae
Here is my CV .
Research interests
Partial differential equations, Free boundary problems,
Mathematical Physics, fluid mechanics, kinetic theory, general relativity
Recent trends in PDE (811 January 2018, King's College London)
Together with Gustav Holzegel (Imperial College London) and Alexander Pushnitski (King's College London) we are organising a conference on Recent trends in PDE
(811 January 2018, King's College London). If yu are interested in attending, please register by sendig
an email to one of the organisers.
Past Events
List of publications

(with Zhiwu Lin and Gerhard Rein )
An instability theory for selfgravitating isolated relativistic systems.

(with Juhi Jang)
A class of global solutions to the EulerPoisson system.
arXiv:1712.00124

(with Andreas Seeger, Charles Smart,
and Brian Street )
Singular integrals and a problem on mixing flows.
To appear in Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire,
arXiv:1612.03431

(with Juhi Jang)
Dynamics of expanding gases.
To appear in Research Institute for Mathematical Science, Kyoto, Kôkyûroku, No. 2038,
Mathematical Analysis in Fluid and Gas Dynamics.

(with Juhi Jang)
Expanding large global solutions of the equations of compressible fluid mechanics.
arXiv:1610.01666

(with Juhi Jang)
Nonlinear stability of expanding star solutions in the radiallysymmetric masscritical EulerPoisson system.
To appear in Comm. Pure Appl. Math.,
arXiv:1605.08083

(with Gustavo Navarro and
Steve Shkoller )
Local wellposedness and Global stability of the TwoPhase Stefan problem.
To appear in SIAM J. Math. Anal.
arXiv:1607.00681

(with Steve Shkoller and
Jared Speck)
A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary.
arXiv:1511.07467

(with Pierre Raphael)
On melting and freezing for the 2d radial Stefan problem.
To appear in Jour. Eur. Math. Soc.
arXiv:1508.02920

(with Steve Shkoller)
Global stability and decay for the classical Stefan problem for general boundary shapes.
Philosophical Transactions of Royal Society A, 373, 2050 (2015)
arXiv:1501.00463

(with
Gerhard Rein)
On the small redshift limit of steady states of the spherically symmetric EinsteinVlasov system and their stability.
Math. Proc. Camb. Phil. Soc. 159, 529546 (2015)
arXiv:1407.4649

(with Jared Speck)
The Global Future Stability of the FLRW Solutions to the DustEinstein System with a Positive Cosmological Constant.
Jour. Hyp. Diff. Eqns.,12, no.1 (2015), 87188
arXiv:1309.3502

(with Steve Shkoller)
Global stability and decay for the classical Stefan problem.
Comm. Pure Appl. Math., 68 (2015) 689757
arXiv:1212.1422

(with
Gerhard Rein)
Stability for the spherically symmetric EinsteinVlasov system  a coercivity estimate.
Math. Proc. Camb. Phil. Soc., 155, 529556 (2013)
arXiv:1205.6198

(with Steve Shkoller)
Wellposedness for the classical Stefan problem and the zero surface
tension limit.
Arch. Rational Mech. Anal., 152, DOI: 10.1007/s0020501610418
arXiv:1112.5817

Orthogonality conditions and stability in the Stefan problem with surface
tension.
Arch. Rational Mech. Anal., 203 (3), 719745 (2012)
arXiv:1101.5177

(with
Govind Menon)
Gradient flow structure for domain relaxation in Langmuir films.
Quart. Appl. Math., 70, 659664, (2012)
arXiv:1009.0226

(with
Yan Guo)
Stability in the Stefan problem with surface tension (I).
Commun. Partial Differential Eqns. 35 (2), 201244 (2010)
arXiv:0801.1083v1

(with
Gerhard Rein)
Global existence and nonlinear stability for the relativistic
VlasovPoisson system in the gravitational case.
Indiana Univ. Math. J. 56, 24532488 (2007)
The original publication is available
here.
arXiv:mathph/0607012v1

A constraint variational problem arising in stellar dynamics.
Quart. Appl. Math. 65, 145153 (2007)
arXiv:mathph/0603025v1
Past Teaching
Spring 2015, 2016, 2017, 2018: Instructor, KCL
Course: 6CCM318a, 7CCMMS11 Fourier Analysis
Spring 2014, 2015, 2016, 2017, 2018: Instructor, KCL
Course: 7CCMMS22 Nonlinear Analysis
Spring 2013: Instructor, MIT.
Course:
18.994.  Seminar on Dynamical Systems.
Fall 2012: Instructor, MIT.
Course:
18.821.  Project Lab in Mathematics.
Spring 2012: Recitation leader, MIT.
Course:
18.03.  Differential Equations.
Instructor: Prof. Haynes Miller
Fall 2011: Recitation leader, MIT.
Course:
18.02.  Multivariable
Calculus
Instructor: Prof. James McKernan
Spring 2011: Instructor, University of Zurich.
Course:
Selected topics in Analysis.
Fall 2010: Teaching Assistant, University of Zurich.
Course:
Analysis I.
Instructor:
Prof. Camillo DeLellis
Language of instruction: German
Spring 2008: Teaching Assistant, Brown University.
Course: AM33  Methods of Applied Mathematics I.
Instructor:
Prof. Yan Guo
Fall 2007: Teaching Assistant, Brown University.
Course: AM35  Methods of Applied Mathematics I.
Instructor: Prof.
Hongjie Dong
Links to Seminars
Other links