I moved to the <a href="https://www.ucl.ac.uk/maths/"> Department of Mathematics</a>  at 
University College London. My new webpage is available <a href="https://www.homepages.ucl.ac.uk/~ucahadz/"> here</a>.

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<dd><H2><p>Mahir Had&#158i&#263 
</H2> </dd>


<p>
<H3> Senior Lecturer in Analysis 
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Department of Mathematics
<br>
King's College London

<br>
Strand, London WC2R 2LS
<p>
<br> <b> Office </b>: S4.11
<br> <b> Phone </b> : +44 (0)20 7848 7126
<br> <b> Email </b> : mahir.hadzic at kcl dot ac dot uk </a>


<p> 
<br> 
I obtained my Ph.D. from the <a href="www.dam.brown.edu"> Division 
of Applied Mathematics</a>, 
<a href="www.brown.edu"> Brown University</a> in May 2010 under the 
supervision of Professor 
<a href="http://www.dam.brown.edu/people/facultypage.guoy.html"> 
Yan Guo</a>. From 2010 to 2013 I was a C.L.E. Moore Instructor at the Department of Mathematics, Massachusetts Institute of Technology.
During the 2010-2011 academic year I was on a leave as a Postdoc at the University of Zurich under the mentorship of Professor <a 
href="http://user.math.uzh.ch/delellis/?professur&key1=493"> Camillo DeLellis</a>.

<hr>

<H3> Curriculum Vitae </H3>
</p>
Here is my <a href="2017_September_CV_Hadzic.pdf"> CV </a>. 
<br>



<hr>
<H3> Research interests</H3> 

Partial differential equations,  Free boundary problems,
Mathematical Physics.




<hr>

<H3> Conference organisation  </H3> 

<ul>

<li> 
Conference: <a href = "https://nms.kcl.ac.uk/mahir.hadzic/public2_html/index.html"> Recent trends in PDE </a>  (8-11 January 2018, King's College London)
<br>
<p>


<li>
Workshop: <a href="workshop.html"> Well-posedness and Singularity Formation for Nonlinear Evolution Problems. </a>
(January 2016, King's College London) <br>
<br>
<p>
 
<li>
Conference: <a href = "http://wwwf.imperial.ac.uk/~jbenartz/Conference-2015/"> The Cauchy problem in Kinetic Theory - Recent Progress in Collisionless Models </a>
(September 2015, Imperial College London) <br>
<br>
<p>

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<li>
Workshop: <a href = "http://wwwf.imperial.ac.uk/~cshao/geohypde/"> Workshop on geometric hyperbolic PDE </a> <br>
<br>
<p>
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<p>

<hr>
<H3> PhD students  </H3> 

<ul>

<li> 
Shrish Parmeshwar<br>
<p>
</ul>

<hr>
<H3>List of publications</H3>

<ol>




<li>
<b>
(with Calum Rickard  and <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)
<br>

Global existence of the nonisentropic compressible Euler equations with vacuum boundary surrounding a variable entropy state. 
<br>
<a
href = "https://arxiv.org/abs/1907.01065">   arXiv:1907.01065
</a>, 50 pages
<br>
<p>


<li>
<b>
(with Shrish Parmeshwar  and <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)
<br>

Global expanding solutions of compressible Euler equations with small initial densities.
<br>
<a
href = "https://arxiv.org/abs/1904.01122">   arXiv:1904.01122
</a>, 51 pages
<br>
<p>


<li>
<b>
(with <a href="https://www.brown.edu/academics/applied-mathematics/yan-guo"> Yan Guo</a>
 and <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)
<br>

Continued gravitational collapse for Newtonian stars.
<br>
<a
href = "https://arxiv.org/abs/1811.01616">   arXiv:1811.01616
</a>, 103 pages
<br>
<p>



<li>

(with <a href="http://people.math.gatech.edu/~zlin/"> Zhiwu Lin</a> and <a href="http://www.pdemathphys.uni-bayreuth.de"> Gerhard Rein</a> )<br>
<b>
Stability and instability of self-gravitating relativistic matter distributions.
<br>
<a 
href = "https://arxiv.org/abs/1810.00809">   arXiv:1810.00809
</a>, 92 pages 
<br>
<p>



<li>
(with <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)<br>
<b>
Expanding large global solutions of the equations of compressible fluid mechanics. 
<br> Inventiones Math., 214, no. 3, 1205-1266 (2018)
<br>
<a href = "https://arxiv.org/abs/1610.01666">  arXiv:1610.01666
</a> <br>
</b>
<p>





<li>

(with <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)<br>
<b>
A class of global solutions to the Euler-Poisson system.
<br><a href = "https://arxiv.org/abs/1712.00124">   arXiv:1712.00124
</a>, 29 pages <br>
To appear in Comm. Math. Phys.
<p>



<li>

(with <a href="https://www.math.wisc.edu/~seeger/"> Andreas Seeger</a>, <a href="http://math.uchicago.edu/people/faculty/#associate-professors"> Charles Smart</a>, 
and <a href="http://www.math.wisc.edu/~street/"> Brian Street</a> )<br>
<b>
Singular integrals and a problem on mixing flows.
</b>
<br> Ann. Inst. H. Poincaré Anal. Non Linéaire
35, no. 4, 921–943 (2018)
<br><a href = "https://arxiv.org/abs/1612.03431">   arXiv:1612.03431
</a> <br>
<p>


<li>

(with <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)<br>
<b>
Nonlinear stability of expanding star solutions in the radially-symmetric mass-critical Euler-Poisson system.
</b><br>
Comm. Pure Appl. Math.
71, no. 5, 827–891 (2018)
<br><a href = "http://arxiv.org/abs/1605.08083">  arXiv:1605.08083
</a>
<br>

<p>


<li>

(with <a href="http://dornsife.usc.edu/juhijang"> Juhi Jang</a>)<br>
<b>
Dynamics of expanding gases.  
<br>
To appear in Research Institute for Mathematical Science, Kyoto, Kôkyûroku, No. 2038, 
<br> Mathematical Analysis in Fluid and Gas Dynamics (2017)
<p>



<li>

(with <a href="https://www.math.ucdavis.edu/~gnavarro/"> Gustavo Navarro</a> and
 <a href="http://www.math.ucdavis.edu/~shkoller/"> Steve Shkoller</a> )<br>
<b>
Local well-posedness and Global stability of the Two-Phase Stefan problem. 
</b><br>
SIAM J. Math. Anal., 49 6,
4942–5006 (2017)
<br>
<a href = "http://arxiv.org/abs/1607.00681"> arXiv:1607.00681
</a> <br>
<p>



<li>

(with <a href="http://www.math.ucdavis.edu/~shkoller/"> Steve Shkoller</a> and
<a href="http://math.mit.edu/~jspeck/"> Jared Speck</a>)<br>
<b>
A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary.
<br>
To appear in Comm. PDE.
<br>
<a href = "http://arxiv.org/abs/1511.07467">  arXiv:1511.07467
</a> <br>
<p>


<li>

(with <a href="http://math.unice.fr/~praphael/index.html"> Pierre Raphael</a>)<br>
<b>
On melting and freezing for the 2d radial Stefan problem.
</b><br>
To appear in Jour. Eur. Math. Soc.
<br>
<a href = "http://arxiv.org/abs/1508.02920"> arXiv:1508.02920
</a> <br>
<p>


<li>

(with <a href="http://www.math.ucdavis.edu/~shkoller/"> Steve Shkoller</a>)<br>
<b>
Global stability and decay for the classical Stefan problem for general boundary shapes.
</b><br>
Philosophical Transactions of Royal Society  A, 373, 2050 (2015)
<br>
<a href = "http://arxiv.org/abs/1501.00463"> arXiv:1501.00463
</a> <br>
<p>



<li>
(with 
<a 
href="http://www.math.uni-bayreuth.de/org/mathe6/staff/memb/grein/home.html">
Gerhard Rein</a>) <br>

<b>
On the small redshift limit of steady states of the spherically symmetric Einstein-Vlasov system and their stability.
</b><br>
Math. Proc. Camb. Phil. Soc. 159, 529-546 (2015)
<br>
<a href = "http://arxiv.org/abs/1407.4649"> arXiv:1407.4649
</a> <br>
<p>



<li>
(with <a href="http://math.mit.edu/~jspeck/"> Jared Speck</a>)<br>
<b>
The Global Future Stability of the FLRW Solutions to the Dust-Einstein System with a Positive Cosmological Constant.
</b><br>
Jour. Hyp. Diff. Eqns.,12, no.1 (2015), 87--188
<br>
<a href = "http://arxiv.org/abs/1309.3502"> arXiv:1309.3502
</a> <br>
<p>


<li>
(with <a href="http://www.math.ucdavis.edu/~shkoller/"> Steve Shkoller</a>)<br>
<b>
Global stability and decay for the classical Stefan problem.
</b><br>
Comm. Pure Appl. Math., 68 (2015) 689--757 <br>
<a href="http://arxiv.org/abs/1212.1422"> arXiv:1212.1422</a><br> 
<p>


<li>

(with 
<a 
href="http://www.math.uni-bayreuth.de/org/mathe6/staff/memb/grein/home.html">
Gerhard Rein</a>) <br>

<b> Stability for the spherically symmetric Einstein-Vlasov system - a coercivity estimate. </b><br>
Math. Proc. Camb. Phil. Soc., 155, 529-556 (2013) <br>
<a href="http://arxiv.org/abs/1205.6198"> arXiv:1205.6198</a><br>
<p>


<li>

(with <a href "http://www.math.ucdavis.edu/~shkoller/"> Steve Shkoller</a>)<br>
<b>
Well-posedness for the classical Stefan problem and the zero surface 
tension limit. </b><br>
Arch. Rational Mech. Anal., 1-52, DOI: 10.1007/s00205-016-1041-8 
<br><a href= "http://arxiv.org/abs/1112.5817"> arXiv:1112.5817 
</a><br>
<p>



<li>
<b>
Orthogonality conditions and stability in the Stefan problem with surface 
tension.</b><br>
Arch. Rational Mech. Anal., 203 (3), 719-745 (2012)<br>
<a href= "http://arxiv.org/abs/1101.5177"> arXiv:1101.5177 </a>
<p>



<li>

(with
<a href ="http://www.dam.brown.edu/people/menon/"> Govind Menon</a>)</br>

<b>
Gradient flow structure for domain relaxation in Langmuir films. </b><br>
Quart. Appl. Math., 70, 659-664, (2012) <br>
<a href="http://arxiv.org/abs/1009.0226"> arXiv:1009.0226 </a>
<p>


<li>

(with
<a href="http://www.dam.brown.edu/people/facultypage.guoy.html"> 
Yan Guo</a>)<br>

<b>
Stability in the Stefan problem with surface tension (I). </b> <br>
Commun. Partial Differential Eqns. 35 (2), 201-244 (2010) <br>
<a href="http://arxiv.org/abs/0801.1083"> arXiv:0801.1083v1 </a>
<p>



<li>
(with 
<a 
href="http://www.math.uni-bayreuth.de/org/mathe6/staff/memb/grein/home.html">
Gerhard Rein</a>) <br>

<b>
Global existence and nonlinear stability for the relativistic
Vlasov-Poisson system in the gravitational case. </b> <br>
Indiana Univ. Math. J. 56, 2453-2488 (2007)<br> 

The original publication is available 
<a 
href="http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=3064&year=2007&volume=56">here</a>.<br>
<a href="http://arxiv.org/abs/math-ph/0607012">  arXiv:math-ph/0607012v1  
</a>
<p>

<li>
<b>A constraint variational problem arising in stellar dynamics.</b><br>
Quart. Appl. Math. 65, 145-153 (2007)<br>

<a href=" http://arxiv.org/abs/math-ph/0603025" > arXiv:math-ph/0603025v1 
</a> 
<p>

</ol>

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<hr>

<h3> Current Teaching </H3>

<b> Spring 2019 </b> <br>
Course: Linear Algebra and Geometry II

<br>
<p>

<b> Spring 2019 </b> <br>
Course: <a href = "http://www.kcl.ac.uk/nms/depts/mathematics/study/current/handbook/progs/modules/7CCMMS22.aspx" > 7CCMMS22 Nonlinear Analysis </a> </br>


</ul>
<hr>

<h3> Past Teaching </H3>


<b> Spring 2015 </b> <br>
<ul>

<b> Spring 2015, 2016, 2017, 2018: Instructor, KCL</b> <br>
Course: <a href = "http://www.kcl.ac.uk/nms/depts/mathematics/study/current/handbook/progs/modules/6CCM318a.aspx" > 6CCM318a, 7CCMMS11 Fourier Analysis </a> </br>

<br>

<b> Spring 2014, 2015, 2016, 2017, 2018: Instructor, KCL</b> <br>
Course: <a href = "http://www.kcl.ac.uk/nms/depts/mathematics/study/current/handbook/progs/modules/7CCMMS22.aspx" > 7CCMMS22 Nonlinear Analysis </a> </br>


<br>

<b> Spring 2013: Instructor, MIT. </b><br>
Course:<a href="http://math.mit.edu/classes/18.994/18.994_SP2013.pdf"> 
18.994. - Seminar on Dynamical Systems.</a></br>

<br>

<b> Fall 2012: Instructor, MIT. </b><br>
Course:<a href="https://stellar.mit.edu/S/course/18/fa12/18.821/">
18.821. - Project Lab in Mathematics.</a></br>

<br>

<b> Spring 2012: Recitation leader, MIT. </b><br>

Course:<a href="http://math.mit.edu/classes/18.03/">
 18.03. - Differential Equations.</a></br>
Instructor:<a
href="http://math.mit.edu/~hrm/"> Prof. Haynes Miller</a></br>

<br>

<b> Fall 2011: Recitation leader, MIT. </b><br>

Course:<a 
href= 
"http://math.mit.edu/~mckernan/Teaching/11-12/Autumn/18.02/18.02.html">
18.02. - Multivariable 
Calculus</a></br>
Instructor:<a
href="http://www-math.mit.edu/~mckernan/"> Prof. James McKernan</a></br> 

<br>

<b> Spring 2011: Instructor, University of Zurich.</b><br>

Course: <a 
href="http://www.vorlesungen.uzh.ch/FS11/suche/sm-50536554.modveranst.html"> 
Selected topics in Analysis.</a></br>
<br>

<b> Fall 2010: Teaching Assistant, University of Zurich.</b><br>

Course: <a 
href="http://www.math.uzh.ch/index.php?pr_vo_det&key1=493&key2=1244&no_cache=1"> 
Analysis I.</a></br>
Instructor: <a
href="http://www.math.uzh.ch/index.php?professur&key1=493">
Prof. Camillo DeLellis</a><br>
Language of instruction: German<br>
<br>

<b> Spring 2008: Teaching Assistant, Brown University.</b><br>

Course: AM33 - Methods of Applied Mathematics I.<br>
Instructor: <a 
href="http://www.dam.brown.edu/people/facultypage.guoy.html"> 
Prof. Yan Guo</a><br>
<br>


<b> Fall 2007: Teaching Assistant, Brown University.</b> <br>
 Course: AM35 - Methods of Applied Mathematics I. <br>

 Instructor: <a href="http://www.dam.brown.edu/people/dong.htm"> Prof. 
Hongjie Dong</a><br>


</ul>
<hr>

<h3> Links to Seminars </H3>

<ul>
<li>
<a href = "http://www.london-analysis-seminar.org.uk/Paris-London/"> Paris-London Analysis Seminar</a>

<li>
<a href = "http://www.london-analysis-seminar.org.uk/"> London Analysis and Probability Seminar </a>

<li>
<a href = "http://www.kcl.ac.uk/nms/depts/mathematics/research/analysis/events/seminars.aspx"> King's College Analysis Seminar </a>

<li>
<a href = "http://www3.imperial.ac.uk/ammp/aboutammp/pdesseminars" > Applied PDE Seminar, Imperial College London </a>

</ul>
<h3> Other links </H3>

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<ul>
<li>
Visit <a href="http://www.bhtourism.ba/eng/"> Bosnia and Herzegovina</a>.
</ul>


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