Publikationen
Journal publications
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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.
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Knüpfer, Hans; Shi, Wenhui
Γ -limit for two-dimensional charged magnetic zigzag domain walls.
Arch. Ration. Mech. Anal. 239 (2021), no. 3, 1875–1923.
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Bétermin, Laurent; Knüpfer, Hans; Nolte, Florian Note on crystallization for alternating particle chains.
J. Stat. Phys. 181 (2020), no. 3, 803–815.
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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.
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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.
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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.
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HK ; Nolte, Florian . Optimal shape of isolated ferromagnetic domains.
SIAM J. Math. Anal. 50 (2018), no. 6, 5857--5886.
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Bétermin, Laurent ; HK . Optimal lattice configurations for interacting spatially extended particles.
Lett. Math. Phys. 108 (2018), no. 10, 2213--2228.
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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.
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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.
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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.
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HK ; Kružík, Martin . A sharp interface evolutionary model for shape memory alloys.
ZAMM Z. Angew. Math. Mech. 96 (2016), no. 11, 1347--1355.
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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.
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HK ; Muratov, Cyrill B. ; Novaga, Matteo . Low density phases in a uniformly charged liquid.
Comm. Math. Phys. 345 (2016), no. 1, 141--183.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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HK ; Muratov, Cyrill B. Domain structure of bulk ferromagnetic crystals in applied fields near saturation.
J. Nonlinear Sci. 21 (2011), no. 6, 921--962.
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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.
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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.
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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.
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Ignat, Radu ; HK . Vortex energy and
360∘ Néel walls in thin-film micromagnetics.
Comm. Pure Appl. Math. 63 (2010), no. 12, 1677--1724.
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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.
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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.