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Publications

 

Journal publications

  1. Akramov, Ibrokhimbek; HK; Kružík, Martin; Rüland, Angkana. Minimal energy for geometrically nonlinear elastic inclusions in two dimensions.
    Proc. Roy. Soc. Edinburgh Sect. A. 154 (2024), no. 3, 769–792.  Link

  2. Brietzke, Birger; HK. Onset of pattern formation in thin ferromagnetic films with perpendicular anisotropy.
    Calc. Var. Partial Differential Equations 62 (2023), no. 4, Paper No. 133, 22 pp.  Link

  3. HK; Shi, Wenhui. Second order expansion for the nonlocal perimeter functional.
    Comm. Math. Phys. 398 (2023), no. 3, 1371–1402.  Link

  4. Brazke, Denis; HK; Marciniak–Czochra, Anna. Γ-limit for a sharp interface model related to pattern formation on biomembranes.
    Calc. Var. Partial Differential Equations 62 (2023), no. 3, Paper No. 94, 18 pp.  Link

  5. HK; Stantejsky, Dominik. Asymptotic shape of isolated magnetic domains.
    Proc. A. 478 (2022), no. 2263, Paper No. 20220018, 24 pp.  Link

  6. 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.  Link 

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

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

  9. 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.  Link 

  10. 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.  Link 

  11. 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.  Link 

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

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

  14. 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.  Link 

  15. 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.  Link 

  16. 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.  Link 

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

  18. 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.  Link 

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

  20. 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.  Link 

  21. 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.  Link 

  22. 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.  Link 

  23. 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.  Link 

  24. 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.  Link 

  25. 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.  Link 

  26. 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.  Link 

  27. 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.  Link 

  28. 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.  Link 

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

  30. 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.  Link 

  31. 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.  Link 

  32. 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.  Link 

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

  34. 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.  Link 

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

     

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.

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Latest Revision: 2024-09-10
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