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

Viscous thin films

  1. Benjamin Gess ; Rishabh S. Gvalani ; Florian Kunick and Felix Otto: Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise
    In: Mathematics of computation, 92 (2023), p. 1931-1976
    Bibtex DOI: 10.1090/mcom/3830 ARXIV: https://arxiv.org/abs/2109.06083
    Repository Open Access

  2. Björn Bringmann ; Lorenzo Giacomelli ; Hans Knüpfer and Felix Otto: Corrigendum to 'Smooth zero-contact-angle solutions to a thin-film equation around the steady state' (J. Differential equations 245 (2008) 1454-1506)
    In: Journal of differential equations, 261 (2016) 2, p. 1622-1635
    Bibtex DOI: 10.1016/j.jde.2016.04.010

  3. Lorenzo Giacomelli ; Manuel V. Gnann and Felix Otto: Rigorous asymptotics of traveling-wave solutions to the thin-film equation and Tanner's law
    In: Nonlinearity, 29 (2016) 9, p. 2497-2536
    Bibtex MIS-Preprint: 45/2015 DOI: 10.1088/0951-7715/29/9/2497
    Repository Open Access

  4. Lorenzo Giacomelli ; Manuel V. Gnann ; Hans Knüpfer and Felix Otto: Well-posedness for the Navier-Slip thin-film equation in the case of complete wetting
    In: Journal of differential equations, 257 (2014) 1, p. 15-81
    Bibtex MIS-Preprint: 1/2014 DOI: 10.1016/j.jde.2014.03.010
    Repository Open Access

  5. Lorenzo Giacomelli ; Manuel V. Gnann and Felix Otto: Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
    In: European journal of applied mathematics, 24 (2013) 5, p. 735-760
    Bibtex MIS-Preprint: 23/2012 DOI: 10.1017/S0956792513000156
    Repository Open Access

  6. Julia Dohmen ; Natalie Grunewald ; Felix Otto and Martin Rumpf: Micro structures in thin coating layers : micro structure evolution and macroscopic contact angle
    In: Mathematics - key technology for the future : joint projects between universities and industry, 2004 - 2007 / Willi Jäger... (eds.)
    Berlin [u. a.] : Springer, 2008. - P. 75-97
    Bibtex DOI: 10.1007/978-3-540-77203-3_7

  7. Lorenzo Giacomelli ; Hans Knüpfer and Felix Otto: Smooth zero-contact-angle solutions to a thin-film equation around the steady state
    In: Journal of differential equations, 245 (2008) 6, p. 1454-1506
    Bibtex DOI: 10.1016/j.jde.2008.06.005
    Repository Open Access

  8. Antonio DeSimone ; Natalie Grunewald and Felix Otto: A new model for contact angle hysteresis
    In: Networks and heterogeneous media, 2 (2007) 2, p. 211-225
    Bibtex DOI: 10.3934/nhm.2007.2.211 LINK: http://sfb611.iam.uni-bonn.de/uploads/280-komplett.pdf
    Repository Open Access

  9. Felix Otto and Maria G. Westdickenberg: Slow motion of gradient flows
    In: Journal of differential equations, 237 (2007) 2, p. 372-420
    Bibtex DOI: 10.1016/j.jde.2007.03.007
    Repository Open Access

  10. Felix Otto ; Tobias Rump and Dejan Slepčev: Coarsening rates for a droplet model : rigorous upper bounds
    In: SIAM journal on mathematical analysis, 38 (2006) 2, p. 503-529
    Bibtex DOI: 10.1137/050630192

  11. Felix Otto and Michael Westdickenberg: Convergence of thin film approximation for a scalar conservation law
    In: Journal of hyperbolic differential equations, 2 (2005) 1, p. 183-199
    Bibtex DOI: 10.1142/S0219891605000427

  12. Lorenzo Giacomelli ; Hans Knüpfer and Felix Otto: Maximal regularity for a degenerate operator of fourth order

  13. Lorenzo Giacomelli and Felix Otto: Rigorous lubrication approximation
    In: Interfaces and free boundaries, 5 (2003) 4, p. 483-529
    Bibtex DOI: 10.4171/IFB/88
    Repository Open Access

  14. Lorenzo Giacomelli and Felix Otto: Droplet spreading : intermediate scaling law by PDE methods
    In: Communications on pure and applied mathematics, 55 (2002) 2, p. 217-254
    Bibtex MIS-Preprint: 74/2000 DOI: 10.1002/cpa.10017
    Repository Open Access

  15. Lorenzo Giacomelli and Felix Otto: Variational formulation for the lubrication approximation of the Hele-Shaw flow
    In: Calculus of variations and partial differential equations, 13 (2001) 3, p. 377-403
    Bibtex MIS-Preprint: 32/2000 DOI: 10.1007/s005260000077
    Repository Open Access

  16. Felix Otto: Thin viscous films [In: Mathematical continuum mechanics ; 20.08. - 26.08.2000 ; report no. 34/2000]
    In: Oberwolfach reports, 2000 (2000) 34, p. 9-10
    Bibtex DOI: 10.14760/TB-2000-34

  17. Felix Otto: Lubrication approximation with prescribed nonzero contact angle
    In: Communications in partial differential equations, 23 (1998) 11/12, p. 2077-2164
    Bibtex DOI: 10.1080/03605309808821411
    Repository Open Access

07.06.2023, 06:05