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. 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 2010-2011 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

Conference organisation

List of publications

  1. (with Shrish Parmeshwar and Juhi Jang)
    Global expanding solutions of compressible Euler equations with small initial densities.
    arXiv:1904.01122 , 51 pages

  2. (with Yan Guo and Juhi Jang)
    Continued gravitational collapse for Newtonian stars.
    arXiv:1811.01616 , 103 pages

  3. (with Zhiwu Lin and Gerhard Rein )
    Stability and instability of self-gravitating relativistic matter distributions.
    arXiv:1810.00809 , 92 pages

  4. (with Juhi Jang)
    Expanding large global solutions of the equations of compressible fluid mechanics.
    Inventiones Math., 214, no. 3, 1205-1266 (2018)

  5. (with Juhi Jang)
    A class of global solutions to the Euler-Poisson system.
    arXiv:1712.00124 , 29 pages
    To appear in Comm. Math. Phys.

  6. (with Andreas Seeger, Charles Smart, and Brian Street )
    Singular integrals and a problem on mixing flows.
    Ann. Inst. H. Poincaré Anal. Non Linéaire 35, no. 4, 921–943 (2018)

  7. (with Juhi Jang)
    Nonlinear stability of expanding star solutions in the radially-symmetric mass-critical Euler-Poisson system.
    Comm. Pure Appl. Math. 71, no. 5, 827–891 (2018)

  8. (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 (2017)

  9. (with Gustavo Navarro and Steve Shkoller )
    Local well-posedness and Global stability of the Two-Phase Stefan problem.
    SIAM J. Math. Anal., 49 6, 4942–5006 (2017)

  10. (with Steve Shkoller and Jared Speck)
    A priori estimates for solutions to the relativistic Euler equations with a moving vacuum boundary.
    To appear in Comm. PDE.

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

  12. (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)

  13. (with Gerhard Rein)
    On the small redshift limit of steady states of the spherically symmetric Einstein-Vlasov system and their stability.
    Math. Proc. Camb. Phil. Soc. 159, 529-546 (2015)

  14. (with Jared Speck)
    The Global Future Stability of the FLRW Solutions to the Dust-Einstein System with a Positive Cosmological Constant.
    Jour. Hyp. Diff. Eqns.,12, no.1 (2015), 87--188

  15. (with Steve Shkoller)
    Global stability and decay for the classical Stefan problem.
    Comm. Pure Appl. Math., 68 (2015) 689--757

  16. (with Gerhard Rein)
    Stability for the spherically symmetric Einstein-Vlasov system - a coercivity estimate.
    Math. Proc. Camb. Phil. Soc., 155, 529-556 (2013)

  17. (with Steve Shkoller)
    Well-posedness for the classical Stefan problem and the zero surface tension limit.
    Arch. Rational Mech. Anal., 1-52, DOI: 10.1007/s00205-016-1041-8

  18. Orthogonality conditions and stability in the Stefan problem with surface tension.
    Arch. Rational Mech. Anal., 203 (3), 719-745 (2012)

  19. (with Govind Menon)
    Gradient flow structure for domain relaxation in Langmuir films.
    Quart. Appl. Math., 70, 659-664, (2012)

  20. (with Yan Guo)
    Stability in the Stefan problem with surface tension (I).
    Commun. Partial Differential Eqns. 35 (2), 201-244 (2010)

  21. (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.

  22. A constraint variational problem arising in stellar dynamics.
    Quart. Appl. Math. 65, 145-153 (2007)

Current Teaching

Spring 2019
Course: Linear Algebra and Geometry II

Spring 2019
Course: 7CCMMS22 Nonlinear Analysis

Past Teaching

Links to Seminars

Other links