Bild fehlt
  


  Faculty for Mathematics and Informatics
  Institute of Applied Mathematics
  Group of Applied Analysis and Partial Differential Equations
 


    

Journal publications

  • HK, Muratov, Nolte, Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy.
    submitted . preprint  Pfeil
  • Gnann, Kim, HK, Traveling-wave solutions for a thin-film equation related to the spin coating process.
    submitted . preprint  Pfeil
  • Bonacini, HK, Ground states of a ternary system including attractive and repulsive Coulomb-type interactions.
    Calc. Var. Partial Differential Equations 55 (2016), no. 5 Art. 114, 31 pp. . preprint  Pfeil
  • Bonacini, HK, Röger, Optimal distribution of oppositely charged phases: perfect screening and other properties.
    SIAM J. Math. Anal. 48 (2016), no. 2, 1128-1154 . preprint  Pfeil
  • HK, Muratov, Novaga, Low density phases in a uniformly charged liquid,
    Comm. Math. Phys. 345 (2016), no. 1, 141-183. . preprint  Pfeil
  • B. Bringmann, Giacomelli, H.K, Otto, Corrigendum to "Smooth zero-contact-angle solutions to a thin-film equation around the steady state,
    J. Differential Equations 261 (2016), no. 2, 1622-1635. . preprint  Pfeil
  • HK, Well-posedness for a class of thin-film equations with general mobility in the regime of partial wetting,
    Arch. Ration. Mech. Anal. 218 (2015), no 2, 1083-1130. . preprint Pfeil
  • HK, N. Masmoudi, Darcy flow on a plate with prescribed contact angle: Well-posedness and lubrication approximation,
    Arch. Ration. Mech. Anal. 218 (2015), no. 2, 589-646. preprint Pfeil
  • HK, C. Muratov, On an isoperimetric problem with a competing nonlocal term: the general case,
    Comm. Pure Appl. Math. 67 (2014), no. 12, 1974-1994. preprint Pfeil
  • L. Giacomelli, M.V. Gnann, HK, and F. Otto., Regularity for the Navier-slip thin-film equation in the case of complete wetting,
    J. Differential Equations 257, 2014, no. 1, 15-81.. preprint Pfeil
  • HK, N. Masmoudi, Well-posedness and uniform bounds for a nonlocal third order evolution operator on an infinite wedge,
    Comm. Math. Phys., 2013, no. 2, 395-424. . preprint Pfeil
  • HK, C. Muratov, On an isoperimetric problem with a competing non-local term. I. The planar case,
    Comm. Pur. Appl. Math. , 2013, no. 7, 1129-1162. article Pfeil preprint Pfeil
  • HK, R.V. Kohn, F. Otto, Nucleation barriers for the cubic-to-tetragonal phase transformation,
    Comm. Pur. Appl. Math. , 66 (2013), no. 6, 867-904. article Pfeil preprint Pfeil
  • HK, C. Muratov, Domain structure of bulk ferromagnetic crystals in applied fields near saturation,
    J. Nonlin. Sc., 21 no 6, pp 921-962, 2011. article Pfeil preprint Pfeil
  • HK, Well-posedness for the Navier slip thin-film equation in the case of partial wetting,
    Comm. Pur. Appl. Math. 64, pp 1263-1296, 2011. article Pfeil preprint Pfeil
  • HK, R. Kohn, Minimal energy for elastic inclusions,
    Proc. Royal Soc. Lond. A 467 no 2127, pp 695-717, 2011. article Pfeil preprint Pfeil
  • L. Giacomelli, HK, A free boundary problem of fourth order: Classical solutions in weighted Hölder spaces
    Comm. Part. Diff. Eq. 35 no 11, pp 2059-2091, 2010. article Pfeil preprint Pfeil
  • R. Ignat, HK, Vortex energy and 360°-Néel walls in thin-film micromagnetics,
    Comm. Pur. Appl. Math 63 no 12, pp 1677-1724, 2010. article Pfeil preprint Pfeil
  • L. Giacomelli, HK, F. Otto, Smooth solutions for a thin-film equation around the stationary solution,
    J. Differential Equations, 245 no 6, pp 1454-1506, 2008. article Pfeil preprint Pfeil
  • A. DeSimone, HK, F. Otto, 2-d stability of the Néel wall,
    Calc. Var. Partial Differential Equations 27 no 2, pp 233-253, 2006. article Pfeil preprint Pfeil

Oberwolfach reports

  • HK, N. Masmoudi, Viscous flows with moving triple point
    Oberwolfach Reports, Volume 6(3) 2009 (PDE and Materials: J. Ball, R. James, S. M\"uller) Link Pfeil
  • A. DeSimone, HK, F. Otto, 2-d stability of the Néel wall,
    Oberwolfach Reports, Volume 3(3) 2006 (Calc. Var.: G. Alberti, S. Mahanta, T. Rivière) Link Pfeil

Theses

  • Phd thesis: Classical solutions for a thin-film equation,
    University of Bonn, 2007 (supervisor Felix Otto) Link Pfeil
My master thesis (Diplomarbeit): 2-d Stabilität von N'eelwänden, University of Bonn, 2004 (supervisor Felix Otto)