Musterbildung, Energielandschaften und Skalierungsgesetze

Direktor:
Felix Otto

Kontakt: Email
Telefon:
+49 (0) 341 - 9959 - 950
Fax:
+49 (0) 341 - 9959 - 658

Anschrift:
Inselstr. 22
04103 Leipzig

Sekretariat:
Katja Heid
Email, Telefon:
+49 (0) 341 - 9959 - 951

Variational pattern formation in materials, in particular micromagnetics

  1. Radu Ignat ; Felix Otto ; Tobias Ried and Pavlos Tsatsoulis: Variational methods for a singular SPDE yielding the universality of the magnetization ripple
    In: Communications on pure and applied mathematics, Vol. not yet known, pp. not yet known
    Bibtex ARXIV: https://arxiv.org/abs/2010.13123
    Repository Open Access

  2. Katarína Bellová ; Antoine Julia and Felix Otto: Uniform energy distribution in a pattern-forming system of surface charges
    In: Revista Matemática Iberoamericana, 38 (2022) 3, p. 783-822
    Bibtex DOI: 10.4171/RMI/1308 ARXIV: https://arxiv.org/abs/2004.01242
    Repository Open Access

  3. Felix Otto ; Lukas Döring and Radu Ignat: The magnetization ripple revisited [In: Mini-workshop : mathematics of magnetoelastic materials ; 30 October - 5 November 2016 ; report no. 51/2016]
    In: Oberwolfach reports, 13 (2016) 4, p. 2917-2919
    Bibtex DOI: 10.4171/OWR/2016/51 LINK: https://publications.mfo.de/handle/mfo/3556
    Repository Open Access

  4. Radu Ignat and Felix Otto: The magnetization ripple : a nonlocal stochastic PDE perspective
    In: Journal de mathématiques pures et appliquées, 130 (2019), p. 157-199
    Bibtex DOI: 10.1016/j.matpur.2019.01.010 ARXIV: https://arxiv.org/abs/1709.01374
    Repository Open Access

  5. Tim Bastian Laux and Felix Otto: Brakke's inequality for the thresholding scheme
    In: Calculus of variations and partial differential equations, 59 (2020) 1, 39
    Bibtex MIS-Preprint: 52/2017 DOI: 10.1007/s00526-020-1696-8 ARXIV: https://arxiv.org/abs/1708.03071
    Journal Open Access

  6. Lukas Döring ; Radu Ignat and Felix Otto: Topology and hysteretic domain-wall transitions in ferromagnets [In: Mechanics of materials : mechanics of interfaces and evolving microstructure ; 13 March - 19 March ; report no. 17/2016]
    In: Oberwolfach reports, 13 (2016) 1, p. 817-818
    Bibtex DOI: 10.4171/OWR/2016/17 LINK: https://publications.mfo.de/handle/mfo/3521
    Repository Open Access

  7. Eleonora Cinti and Felix Otto: Interpolation inequalities in pattern formation
    In: Journal of functional analysis, 271 (2016) 11, p. 3348-3392
    Bibtex MIS-Preprint: 56/2015 DOI: 10.1016/j.jfa.2016.05.007 ARXIV: http://arxiv.org/abs/1509.01189
    Repository Open Access

  8. Jianfeng Lu and Felix Otto: An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus
    Repository Open Access

  9. Lukas Döring ; Claudia Hengst ; Felix Otto and Rudolf Schäfer: Interacting tails of asymmetric domain walls : theory and experiments
    In: Physical review / B, 93 (2016) 2, 024414
    Bibtex MIS-Preprint: 14/2015 DOI: 10.1103/PhysRevB.93.024414
    Repository Open Access

  10. Felix Otto: Domain and wall pattern in ferromagnets [In: Dynamics of patterns ; 16 December - 22 December 2012 ; report no. 60/2012]
    In: Oberwolfach reports, 9 (2012) 4, p. 3620-3622
    Bibtex DOI: 10.4171/OWR/2012/60 LINK: https://publications.mfo.de/handle/mfo/3331
    Repository Open Access

  11. Lukas Döring ; Radu Ignat and Felix Otto: A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types
    In: Journal of the European Mathematical Society, 16 (2014) 7, p. 1377-1422
    Bibtex MIS-Preprint: 33/2012 DOI: 10.4171/JEMS/464 ARXIV: https://arxiv.org/abs/1309.2494
    Repository Open Access

  12. Jianfeng Lu and Felix Otto: Nonexistence of a minimizer for Thomas-Fermi-Dirac-von Weizsäcker model
    In: Communications on pure and applied mathematics, 67 (2014) 10, p. 1605-1617
    Bibtex DOI: 10.1002/cpa.21477

  13. Lukas Döring ; Elias Esselborn ; Samuel Ferraz-Leite and Felix Otto: Domain configurations in soft ferromagnetic films under external field
    In: Proceedings of MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, February 15 - 17, 2012
    Vienna : International Federation of Automatic Control, 2012. - P. 498-503
    Bibtex MIS-Preprint: 3/2012 DOI: 10.3182/20120215-3-AT-3016.00087
    Repository Open Access

  14. Jutta Steiner ; Rudolf Schäfer ; Holm Wieczorek ; Jeffrey McCord and Felix Otto: Formation and coarsening of the concertina magnetization pattern in elongated thin-film elements
    In: Physical review / B, 85 (2012) 10, 104407
    Bibtex MIS-Preprint: 40/2011 DOI: 10.1103/PhysRevB.85.104407 ARXIV: https://arxiv.org/abs/1106.3573
    Repository Open Access

  15. Felix Otto: Branching, coarsening, and interpolation estimates [In: Calculus of variations ; 18 July - 24 July, 2010 ; report no. 31/2010]
    In: Oberwolfach reports, 7 (2010) 3, p. 1833-1835
    Bibtex DOI: 10.4171/OWR/2010/31

  16. Lukas Döring ; Felix Otto and Jutta Steiner: Domänen- und Wandmuster in ferromagnetischen Filmen
    In: Jahrbuch der Max-Planck-Gesellschaft, 2011 (2011), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
    Bibtex LINK: http://www.mpg.de/1262200/Ferromagnetische_Filme
    Repository Open Access

  17. Radu Ignat and Felix Otto: A compactness result for Landau state in thin-film micromagnetics
    In: Annales de l'Institut Henri Poincaré / C, 28 (2011) 2, p. 247-282
    Bibtex MIS-Preprint: 52/2010 DOI: 10.1016/j.anihpc.2011.01.001 ARXIV: https://arxiv.org/abs/1009.1649
    Repository Open Access

  18. Felix Otto ; Giovanni Alberti and Rustum Choksi: Uniform energy distribution for a model of pattern formation [In: PDE and materials ; September 13th - September 19th, 2009 ; report no. 42/2009]
    In: Oberwolfach reports, 6 (2009) 3, p. 2397-2400
    Bibtex DOI: 10.4171/OWR/2009/42

  19. Felix Otto and Jutta Steiner: The concertina pattern : from micromagnetics to domain theory
    In: Calculus of variations and partial differential equations, 39 (2010) 1-2, p. 139-181
    Bibtex DOI: 10.1007/s00526-009-0305-7
    Repository Open Access

  20. Felix Otto and Thomas Viehmann: Domain branching in uniaxial ferromagnets : asymptotic behavior of the energy
    In: Calculus of variations and partial differential equations, 38 (2010) 1-2, p. 135-181
    Bibtex DOI: 10.1007/s00526-009-0281-y
    Repository Open Access

  21. Christof Melcher ; Antonio Capella and Felix Otto: Magnetic domain wall motion [In: Phase transitions ; June 3rd - June 9th, 2007 ; report no. 28/2007]
    In: Oberwolfach reports, 4 (2007) 2, p. 1614-1616
    Bibtex DOI: 10.4171/OWR/2007/28

  22. Giovanni Alberti ; Rustum Choksi and Felix Otto: Uniform energy distribution for an isoperimetric problem with long-range interactions
    In: Journal of the American Mathematical Society, 22 (2009) 2, p. 569-605
    Bibtex DOI: 10.1090/S0894-0347-08-00622-X

  23. Sergio Conti ; Rustum Choksi ; Robert V. Kohn and Felix Otto: Energy scaling and domain branching in type-I superconductors [In: PDE and materials ; September 24th - September 30th, 2006 ; report no. 44/2006]
    In: Oberwolfach reports, 3 (2006) 4, p. 2644-2647
    Bibtex DOI: 10.4171/OWR/2006/44

  24. Nils Wiese ; Stephen McVitie ; Antonio Capella and Felix Otto: On the scaling behaviour of cross-tie domain wall structures in patterned NiFe elements
    Repository Open Access

  25. Hans Knüpfer ; Antonio DeSimone and Felix Otto: 2-d stability of the Néel wall [In: Calculus of variations ; July 9th - July 15th, 2006 ; report no. 31/2006]
    In: Oberwolfach reports, 3 (2006) 3, p. 1928-1930
    Bibtex DOI: 10.4171/OWR/2006/31

  26. Felix Otto ; Rubén Cantero-Álvarez and Jutta Steiner: Pattern formation in micromagnetics [In: Calculus of variations ; July 9th - July 15th, 2006 ; report no. 31/2006]
    In: Oberwolfach reports, 3 (2006) 3, p. 1910-1910
    Bibtex DOI: 10.4171/OWR/2006/31

  27. Antonio Capella ; Christof Melcher and Felix Otto: Wave-type dynamics in ferromagnetic thin films and the motion of Néel walls
    In: Nonlinearity, 20 (2007) 11, p. 2519-2537
    Bibtex DOI: 10.1088/0951-7715/20/11/004
    Repository Open Access

  28. Radu Ignat and Felix Otto: A compactness result in thin-film micromagnetics and the optimality of the Néel wall
    In: Journal of the European Mathematical Society, 10 (2008) 4, p. 909-956
    Bibtex DOI: 10.4171/JEMS/135 LINK: https://www.researchgate.net/publication/243118562
    Repository Open Access

  29. Rubén Cantero-Álvarez ; Felix Otto and Jutta Steiner: The concertina pattern : a bifurcation in ferromagnetic thin films
    In: Journal of nonlinear science, 17 (2007) 3, p. 221-281
    Bibtex DOI: 10.1007/s00332-006-0805-y
    Repository Open Access

  30. Antonio DeSimone ; Hans Knüpfer and Felix Otto: 2-d stability of the Néel wall
    In: Calculus of variations and partial differential equations, 27 (2006) 2, p. 233-253
    Bibtex DOI: 10.1007/s00526-006-0019-z
    Repository Open Access

  31. Rubén Cantero-Álvarez and Felix Otto: Critical fields in ferromagnetic thin films : identification of four regimes
    In: Journal of nonlinear science, 16 (2006) 4, p. 351-383
    Bibtex DOI: 10.1007/s00332-004-0683-0
    Repository Open Access

  32. Rubén Cantero-Álvarez and Felix Otto: Oscillatory buckling mode in thin-film nucleation
    In: Journal of nonlinear science, 16 (2006) 4, p. 385-413
    Bibtex DOI: 10.1007/s00332-004-0684-z
    Repository Open Access

  33. Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto: Recent analytical developments in micromagnetics
    In: The science of hysteresis. Vol. 2 Physical modeling, micromagnetics, and magnetization dynamics / Giogio Bertotti... (eds.)
    Amsterdam : Elsevier [u. a.], 2006. - P. 269-381
    Bibtex MIS-Preprint: 80/2004 DOI: 10.1016/B978-012480874-4/50015-4
    Repository Open Access

  34. Felix Otto: Excitations in thin film ferromagnetic elements [In: PDE and materials ; September 7th - September 13th, 2003 ; report no. 39/2003]
    In: Oberwolfach reports, 2003 (2003) 39, p. 3-3
    Bibtex DOI: 10.14760/TB-2003-39

  35. Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto: Repulsive interaction of Néel walls, and the internal length scale of the cross-tie wall
    In: Multiscale modeling and simulation, 1 (2003) 1, p. 57-104
    Bibtex MIS-Preprint: 17/2002 DOI: 10.1137/S1540345902402734
    Repository Open Access

  36. Sergio Conti ; Antonio DeSimone ; Georg Dolzmann ; Stefan Müller and Felix Otto: Multiscale modeling of materials : the role of analysis
    In: Trends in nonlinear analysis / Markus Kirkilionis... (eds.)
    Berlin [u. a.] : Springer, 2003. - P. 375-408
    Bibtex MIS-Preprint: 1/2002 DOI: 10.1007/978-3-662-05281-5_11
    Repository Open Access

  37. Felix Otto: Cross-over in scaling laws : a simple example from micromagnetics
    In: Proceedings of the International Congress of Mathematicians : Beijing, 2002, August 20 - 28. Pt. 3 Invited lectures / Li Tatsien (ed.)
    Beijing : Higher Education Press, 2002. - P. 829-838
    Bibtex ARXIV: http://arxiv.org/abs/math-ph/0305001 LINK: https://www.mathunion.org/fileadmin/ICM/Proceedings/ICM2002.3/ICM2002.3.ocr.pdf
    Repository Open Access

  38. Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto: A reduced theory for thin-film micromagnetics
    In: Communications on pure and applied mathematics, 55 (2002) 11, p. 1408-1460
    Bibtex MIS-Preprint: 82/2001 DOI: 10.1002/cpa.3028
    Repository Open Access

  39. Antonio DeSimone ; Robert V. Kohn ; Stefan Müller ; Felix Otto and Rudolf Schäfer: Low energy domain patterns in soft ferromagnetic films
    In: Journal of magnetism and magnetic materials, 242-245 (2002) 2, p. 1047-1051
    Bibtex MIS-Preprint: 77/2001 DOI: 10.1016/S0304-8853(01)01356-7
    Repository Open Access

  40. Felix Otto: Scaling laws for the cross-tie wall [In: Partial differential equations ; August 5th - August 11th, 2001 ; report no. 35/2001]
    In: Oberwolfach reports, 2001 (2001) 35, p. 8-8
    Bibtex DOI: 10.14760/TB-2001-35

  41. Antonio DeSimone ; Robert V. Kohn ; Stefan Müller ; Felix Otto and Rudolf Schäfer: Two-dimensional modelling of soft ferromagnetic films
    In: Proceedings of the Royal Society of London / A, 457 (2001) 2016, p. 2983-2991
    Bibtex MIS-Preprint: 30/2000 DOI: 10.1098/rspa.2001.0846 ARXIV: https://arxiv.org/abs/cond-mat/0005057
    Repository Open Access

  42. Antonio DeSimone ; Robert V. Kohn ; Stefan Müller and Felix Otto: Magnetic microstructures : a paradigm of multiscale problems
    In: ICIAM 99 : proceedings of the Fourth International Congress on Industrial and Applied Mathematics, Edinburgh / John M. Ball... (eds.)
    Oxford : Oxford University Press, 2000. - P. 175-190
    Bibtex MIS-Preprint: 70/1999
    Repository Open Access

  43. Robert V. Kohn and Felix Otto: Small surface energy, coarse-graining, and selection of microstructure
    In: Physica / D, 107 (1997) 2-4, p. 272-289
    Bibtex DOI: 10.1016/S0167-2789(97)00094-8
    Repository Open Access

  44. Rustum Choksi ; Robert V. Kohn and Felix Otto: Domain branching in uniaxial ferromagnets : a scaling law for the minimum energy
    In: Communications in mathematical physics, 201 (1999) 1, p. 61-79
    Bibtex DOI: 10.1007/s002200050549
    Repository Open Access

07.06.2023, 06:05