Pattern formation, energy landscapes, and scaling laws

Head:
Felix Otto

Contact: Email
Phone:
+49 (0) 341 - 9959 - 950

Address:
Inselstr. 22
04103 Leipzig

Administrative Assistant:
Katja Heid
Email, Phone/Fax:
+49 (0) 341 - 9959
- 951
- 658

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

  2. Katarína Bellová ; Antoine Julia and Felix Otto: Uniform energy distribution in a pattern-forming system of surface charges

  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
    [DOI][FREELINK]

  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
    [DOI][ARXIV]

  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
    MIS-Preprint: 52/2017[DOI][ARXIV]

  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
    [DOI][FREELINK]

  7. Jianfeng Lu and Felix Otto: An isoperimetric problem with Coulomb repulsion and attraction to a background nucleus

  8. 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
    MIS-Preprint: 14/2015[DOI]

  9. 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
    [DOI][FREELINK]

  10. 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
    MIS-Preprint: 33/2012[DOI][ARXIV]

  11. 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
    [DOI]

  12. 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
    MIS-Preprint: 3/2012[DOI]

  13. 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
    MIS-Preprint: 40/2011[DOI][ARXIV]

  14. 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
    [DOI]

  15. 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
    [FREELINK]

  16. 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
    MIS-Preprint: 52/2010[DOI][ARXIV]

  17. 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
    [DOI]

  18. 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
    [DOI]

  19. 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
    [DOI]

  20. 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
    [DOI]

  21. 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
    [DOI]

  22. 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
    [DOI]

  23. Nils Wiese ; Stephen McVitie ; Antonio Capella and Felix Otto: On the scaling behaviour of cross-tie domain wall structures in patterned NiFe elements
    In: epl, 80 (2007) 5, 57003
    [DOI][ARXIV]

  24. 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
    [DOI]

  25. 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
    [DOI]

  26. 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
    [DOI]

  27. 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
    [DOI][FREELINK]

  28. 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
    [DOI]

  29. 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
    [DOI]

  30. 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
    [DOI]

  31. Rubén Cantero-Álvarez and Felix Otto: Oscillatory buckling mode in thin-film nucleation
    In: Journal of nonlinear science, 16 (2006) 4, p. 385-413
    [DOI]

  32. 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 / GiogioBertotti... (eds.)
    Amsterdam : Elsevier [u. a.], 2006. - P. 269-381
    MIS-Preprint: 80/2004[DOI]

  33. 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
    [DOI]

  34. 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
    MIS-Preprint: 17/2002[DOI]

  35. Sergio Conti ; Antonio DeSimone ; Georg Dolzmann ; Stefan Müller and Felix Otto: Multiscale modeling of materials : the role of analysis
    In: Trends in nonlinear analysis / MarkusKirkilionis... (eds.)
    Berlin [u. a.] : Springer, 2003. - P. 375-408
    MIS-Preprint: 1/2002[DOI]

  36. 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 / LiTatsien (ed.)
    Beijing : Higher Education Press, 2002. - P. 829-838
    [ARXIV][FREELINK]

  37. 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
    MIS-Preprint: 82/2001[DOI]

  38. 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
    MIS-Preprint: 77/2001[DOI]

  39. 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
    [DOI]

  40. 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
    MIS-Preprint: 30/2000[DOI][ARXIV]

  41. 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
    MIS-Preprint: 70/1999

  42. 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
    [DOI]

  43. 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
    [DOI]

30.07.2021, 06:05