Publications

Journal publications

• HK, Muratov, Nolte, Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy.
  submitted . preprint 

• Gnann, Kim, HK, Traveling-wave solutions for a thin-film equation related to the spin coating process.
  submitted . preprint 

• 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 

• 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 

• HK, Muratov, Novaga, Low density phases in a uniformly charged liquid,
  Comm. Math. Phys. 345 (2016), no. 1, 141-183. . preprint 

• 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 

• 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 

• 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 

• 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 

• 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 

• 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 

• 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  preprint 

• 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  preprint 

• 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  preprint 

• 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  preprint 

• HK, R. Kohn, Minimal energy for elastic inclusions,
  Proc. Royal Soc. Lond. A 467 no 2127, pp 695-717, 2011. article  preprint 

• 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  preprint 

• 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  preprint 

• 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  preprint 

• 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  preprint 

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 

• 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. RiviÚre) Link 

Theses

• Phd thesis: Classical solutions for a thin-film equation,
  University of Bonn, 2007 (supervisor Felix Otto) Link 

My master thesis (Diplomarbeit): 2-d Stabilität von N’eelwänden, University of Bonn, 2004 (supervisor Felix Otto)