Publikationen

Journal publications

1. Bétermin, Laurent; Faulhuber, Markus; HK On the optimality of the rock-salt structure among lattices with charge distributions.
   Math. Models Methods Appl. Sci. 31 (2021), no. 2, 293–325.
    

2. Knüpfer, Hans; Shi, Wenhui Γ-limit for two-dimensional charged magnetic zigzag domain walls.
   Arch. Ration. Mech. Anal. 239 (2021), no. 3, 1875–1923.
    

3. Bétermin, Laurent; Knüpfer, Hans; Nolte, Florian Note on crystallization for alternating particle chains.
   J. Stat. Phys. 181 (2020), no. 3, 803–815.
    

4. HK ;  Muratov, Cyrill B. ;  Novaga, Matteo . Emergence of nontrivial minimizers for the three-dimensional Ohta-Kawasaki energy.
   Pure Appl. Anal.  2  (2020),  no. 1, 1--21.
    

5. HK ;  Muratov, Cyrill B. ;  Nolte, Florian . Magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy.
   Arch. Ration. Mech. Anal.  232  (2019),  no. 2, 727--761.
    

6. HK ;  Otto, Felix . Nucleation barriers for the cubic-to-tetragonal phase transformation in the absence of self-accommodation.
   ZAMM Z. Angew. Math. Mech.  99  (2019),  no. 2, e201800179, 12 pp.
    

7. HK ;  Nolte, Florian . Optimal shape of isolated ferromagnetic domains.
   SIAM J. Math. Anal.  50  (2018),  no. 6, 5857--5886.
    

8. Bétermin, Laurent ;  HK . Optimal lattice configurations for interacting spatially extended particles.
   Lett. Math. Phys.  108  (2018),  no. 10, 2213--2228.
    

9. Bétermin, Laurent ;  HK . On Born's conjecture about optimal distribution of charges for an infinite ionic crystal.
   J. Nonlinear Sci.  28  (2018),  no. 5, 1629--1656.
    

10. Gnann, M. V. ;  Kim, H. J. ;  HK  Travelling wave solutions for a thin-film equation related to the spin-coating process.
    European J. Appl. Math.  29  (2018),  no. 3, 369--392.
     

11. Cuesta, Carlota M. ;  HK ;  Velázquez, Juan J. L.  Self-similar lifting and persistent touch-down points in the thin-film equation.
    SIAM J. Math. Anal.  50  (2018),  no. 2, 1900--1917.
     

12. HK ;  Kružík, Martin . A sharp interface evolutionary model for shape memory alloys.
    ZAMM Z. Angew. Math. Mech.  96  (2016),  no. 11, 1347--1355.
     

13. Bonacini, Marco ;  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.
     

14. HK ;  Muratov, Cyrill B. ;  Novaga, Matteo . Low density phases in a uniformly charged liquid.
    Comm. Math. Phys.  345  (2016),  no. 1, 141--183.
     

15. Bringmann, Björn ;  Giacomelli, Lorenzo ;  HK ;  Otto, Felix . Corrigendum to "Smooth zero-contact-angle solutions to a thin-film equation around the steady state'' [J. Differential Equations 245 (2008) 1454–1506] .
    J. Differential Equations  261  (2016),  no. 2, 1622--1635.
     

16. Bonacini, Marco ;  HK ;  Röger, Matthias . Optimal distribution of oppositely charged phases: perfect screening and other properties.
    SIAM J. Math. Anal.  48  (2016),  no. 2, 1128--1154.
     

17. 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.
     

18. HK ;  Masmoudi, Nader . Darcy's flow with prescribed contact angle: well-posedness and lubrication approximation.
    Arch. Ration. Mech. Anal.  218  (2015),  no. 2, 589--646.
     

19. HK ;  Muratov, Cyrill B.  On an isoperimetric problem with a competing nonlocal term II: The general case.
    Comm. Pure Appl. Math.  67  (2014),  no. 12, 1974--1994.
     

20. Giacomelli, Lorenzo ;  Gnann, Manuel V. ;  HK ;  Otto, Felix . Well-posedness for the Navier-slip thin-film equation in the case of complete wetting.
    J. Differential Equations  257  (2014),  no. 1, 15--81.
     

21. HK ;  Muratov, Cyrill B.  On an isoperimetric problem with a competing nonlocal term I: The planar case.
    Comm. Pure Appl. Math.  66  (2013),  no. 7, 1129--1162.
     

22. HK ;  Masmoudi, Nader . Well-posedness and uniform bounds for a nonlocal third order evolution operator on an infinite wedge.
    Comm. Math. Phys.  320  (2013),  no. 2, 395--424.
     

23. HK ;  Kohn, Robert V. ;  Otto, Felix . Nucleation barriers for the cubic-to-tetragonal phase transformation.
    Comm. Pure Appl. Math.  66  (2013),  no. 6, 867--904.
     

24. HK ;  Muratov, Cyrill B.  Domain structure of bulk ferromagnetic crystals in applied fields near saturation.
    J. Nonlinear Sci.  21  (2011),  no. 6, 921--962.
     

25. HK . Well-posedness for the Navier slip thin-film equation in the case of partial wetting.
    Comm. Pure Appl. Math.  64  (2011),  no. 9, 1263--1296.
     

26. HK ;  Kohn, Robert V.  Minimal energy for elastic inclusions.
    Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci.  467  (2011),  no. 2127, 695--717.
     

27. Giacomelli, Lorenzo ;  HK . A free boundary problem of fourth order: classical solutions in weighted Hölder spaces.
    Comm. Partial Differential Equations  35  (2010),  no. 11, 2059--2091.
     

28. Ignat, Radu ;  HK . Vortex energy and 360∘ Néel walls in thin-film micromagnetics.
    Comm. Pure Appl. Math.  63  (2010),  no. 12, 1677--1724.
     

29. Giacomelli, Lorenzo ;  HK ;  Otto, Felix . Smooth zero-contact-angle solutions to a thin-film equation around the steady state.
    J. Differential Equations  245  (2008),  no. 6, 1454--1506.
     

30. DeSimone, Antonio ;  HK ;  Otto, Felix . 2-d stability of the Néel wall.
    Calc. Var. Partial Differential Equations  27  (2006),  no. 2, 233--253.
     

     

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. Müller) 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. Rivière) Link 

You can find a list of all my preprints on arXiv.