Project C10: Modelling,
Asymptotic Analysis and Numerical Simulation 
Project head:  Prof. Dr. Barbara Wagner , TU Berlin/WIAS. 
Support:  Matheon, DFG, Research Center 
Research Team:  Dr. Dirk Peschka, WIAS (since June 2010) and 
Dr. Maciek Korzec, TU Berlin (August 2006April 2011 at WIAS, now TU Berlin)  
Former Project Members:  PD Dr. Andreas Münch cohead of the project until September 2008; HU Berlin; now at the Mathematical Insitute, Oxford, U.K. 
Dr. Peter Evans, HU Berlin until May 2010, now at German Research Center for Geosciences, Potsdam  
Publications:  see below 
Contact:  For further information about this project, please contact Prof. Dr. Barbara Wagner. 
Figure 1: Slow down of the coarsening by increasing the anisotropy from (top G=0.5) to (bottom G=1) in numerical simulation [KMW11]  Figure 2: An example of our numerical simulation of stacked quantum dots in 2D for different spacer thicknesses shows that anticorrelated stacking is observed for the smallest value of the spacer thickness. 
Figure 3: Motion of suspension flow fronts (particles and liquid) on an incline with different inclination angles (left 10deg, right 20deg) and comparison of experiment (symbols) with theory (lines) shows good agreement [MPPB12] 
Figure 4: Flow from an upperconvected Maxwell model with parabolic inflow at x=1. Behind the inflow a boundary layer forms and the velocity profile can be described with an effective Navierslip condition.  Figure 5: cross section through the velocity profile in Figure 4 at x=0.9 (blue full line) compared to the inflow (red dashed line) shows a significant boundary layer. 
Figure 6: Charged particles are shielded in a charged liquid (top=with charge, bottom=without charge) 
NOTE: Articles posted on this page are subject to copyright restrictions. They may be downloaded for personal use only. Any other use requires prior permission of the authors and the relevant publishers.
[K10]  M. D. Korzec. Continuum modeling, analysis and simulation of the selfassembly of thin crystalline films. Ph.D. thesis, TU Berlin  PDF ABS 
[KMW11]  M. D. Korzec, A. Münch and B. Wagner. Anisotropic surface energy formulations and their effect on stability of a growing thin film. submitted (also: Matheon preprint number 839 (2012).) 

[MPPB12]  N. Murisic, B. Pausader, D. Peschka, A. L. Bertozzi. Dynamics of particle settling and resuspension in viscous liquids. submitted (Also WIAS preprint number 1679, (2012); Matheon preprint number 865, (2012)) 

[KRW12]  G. Kitavtsev, L. Recke and B. Wagner. Asymptotics for the spectrum of a thin film equation in a singular limit. submitted (Also WIAS preprint number 1555, (2011)) 

[KRN10]  M. D. Korzec, P. Rybka and P. Nayar. Global weak solutions to a sixth order CahnHilliard type equation. submitted (Also WIAS preprint number 1581.) 
[KW11]  G. Kitavtsev and B. Wagner. Coarsening dynamics of slipping droplets. J. Engin. Math., 66:271292, 2010. (Also WIAS preprint number 1381.) 

[KR10]  M. D. Korzec and P. Rybka. On a higher order convective CahnHilliard type equation. (accepted for publication in SIAP) (Also WIAS preprint number 1582.) 

[KRW11]  G. Kitavtsev, L. Recke and B. Wagner. Centre manifold reduction approach for the lubrication equation. Nonlinearity, 34:23472369, 2011. (Also WIAS preprint number 1554.) 

[KPMWHS11]  K. Kostorou, D. Peschka, A. Münch, B. Wagner, S. Herminghaus and R. Seemann. Interface morphologies in liquid/liquid dewetting. Chemical Engineering and Processing: Process Intensification, 50:531536, 2011. (Also WIAS preprint number 1560.) 

[MW11]  A. Münch and B. Wagner. Impact of slippage on the morphology and stability of a dewetting rim. Journal of Physics: Condensed Matter, 23:184101, 2011. (Also WIAS preprint number 1556.) 

[MPW11]  A. Münch, C. P. Please and B. Wagner. Spin coating of an evaporating polymer solution. Physics of Fluids, 23:1021101, 2011.(Also WIAS preprint number 1558.) 

[KMN10]  D. Peschka, A. Münch and B. Niethammer. Selfsimilar rupture of viscous thin films in the strongslip regime. Nonlinearity, 23, 2010.(Also WIAS preprint number 1418.) 

[KE10]  M. D. Korzec and P. L. Evans. From bell shapes to pyramids: A reduced continuum model for selfassembled quantum dot growth. Physica D, 239(8): 465474, 2010. Matheon preprint #583. (Also WIAS preprint number 1434.) 
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[K11]  M. D. Korzec. The effect of deposition in a model for quantum dot selfarrangement. PAMM, Proc. of GAMM 2011, 397.398, 2011. 
[AMW07]  K. Afanasiev, A. Münch, and B. Wagner. On the LandauLevich problem for nonNewtonian liquids. Phys. Rev. E, 76:036307, 2007. (Also WIAS preprint number 1215.) 
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[AMW08]  K. Afanasiev, A. Münch, and B. Wagner. Thin film dynamics on vertically rotating disks. Applied Mathematical Modelling, 32:18941911, 2008. (Also WIAS preprint number 1074.) 
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[BMRW06]  R. Blossey, A. Münch, M. Rauscher and B. Wagner. Slip vs. viscoelasticity in dewetting thin films. European Phys. J. E  Soft Matter, 20(3): 267271, 2006. (Also WIAS preprint number 1192.) 
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[DW05]  W. Dreyer and B. Wagner. Sharpinterface model for eutectic alloys. Part I: Concentration dependent surface tension. Interfaces and Free Boundaries, 7(2):199227, 2005. (Also WIAS preprint number 885.) 
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[EKM06]  P. L. Evans, J. R. King, and A. Münch. Intermediateasymptotic structure of a dewetting rim with strong slip. AMRX Appl. Math. Res. Express, vol. 2006, Article ID 25262, 2006. 
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[EM06] 
P. L. Evans and A. Münch. Interaction of advancing fronts and meniscus profiles formed by surfacetensiongradientdriven liquid films. SIAM J. Appl. Math., 66(5):16101631, 2006. 
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[FMWRJ07]  R. Fetzer, A. Münch, B. Wagner, M. Rauscher and K. Jacobs. Quantifying hydrodynamic slip: A comprehensive analysis of dewetting profiles. Langmuir, 23(21):1055910566, 2007. 
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[FRMWJ06]  R. Fetzer, M. Rauscher, A. Münch, B. Wagner, and K. Jacobs. Slipcontrolled thin film dynamics. Europhys. Lett., 75(4):638644, 2006. 
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[KMW09]  J. King, A. Münch, and B. Wagner. Linear stability analysis of a sharpinterface model for dewetting thin films. J. Engrg. Math., 63:177195, 2009. (Also WIAS preprint number 1248.) 

[KMW06] 
J. R. King, A. Münch, and B. Wagner. Linear stability of a ridge. Nonlinearity, 19:28132831, 2006. (Also WIAS preprint number 1070.) 
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[KW09] 
G. Kitavtsev and B. Wagner. Coarsening dynamics of slipping droplets. J. Engrg. Math., , 2009. (Also WIAS preprint number 1381.) 
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[KEMW08]  M. D. Korzec, P. L. Evans, A. Münch, and B. Wagner. Stationary solutions of driven fourth and sixthorder CahnHilliard type equations. SIAM J. Appl. Math., 69(2):348374, 2008. Preprint arXiv:0712.2482v1 [mathph] available at http://arxiv.org/abs/0712.2482 
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[MW08] 
A. Münch and B Wagner. Galerkin method for feedback controlled RayleighBenard convection. Nonlinearity, 21:26252651, 2009. (Also WIAS preprint number 907.) 
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[MWRB06] 
A. Münch, B. Wagner, M. Rauscher and R. Blossey.
A thin film model for corotational Jeffreys fluids under strong slip. European Phys. J. E, 20(4):365368 2006. 
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[PMN09] 
D. Peschka, A. Münch and B. Niethammer. Thin film rupture for large slip. J. Engrg. Math., 66(1):3351, 2010. (Also WIAS preprint number 1417.) 
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[RBMW08] 
M. Rauscher, R. Blossey, A. Münch and B Wagner. Spinodal dewetting of thin films with large interfacial slip: implications from the dispersion relation. Langmuir, 24: 1229012294, 2008. (Also WIAS preprint number 1380.) 
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[Mue04] 
A. Münch. Fingering instability in dewetting films induced by slippage, 2004. 
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[WM04] 
B. Wagner and A. Münch. Galerkin approximation for RayleighBénard convection. Appeared in Nonlinearity (see above). (Also WIAS preprint number 907.) 
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[ESR05]  P. L. Evans, L. W. Schwartz and R. V. Roy. Threedimensional solutions for coating flow on a rotating horizontal cylinder: theory and experiment. Phys. Fluids, 17(7):072102, 2005 
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[FJMWW05]  R. Fetzer, K. Jacobs, A. Münch, B. Wagner, and T. P. Witelski. New slip regimes and the shape of dewetting thin liquid films. Phys. Rev. Lett., 95(12):127801, 2005. 
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[JAM05]  B. Jin, A. Acrivos, and A. Münch. The dragout problem in film coating. Phys. Fluids, 17:103603, 2005 
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[Mue05b]  A. Münch. Dewetting rates of thin liquid films. Journal of Physics: Condensed Matter, 17:S309S318, 2005. 
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[ME05]  A. Münch and P. L. Evans. Marangonidriven liquid films rising out of a meniscus onto a nearly horizontal substrate. Physica D, 209(14):164177, 2005. 
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[MWW05] 
A. Münch, B. Wagner, and T. P. Witelski. Lubrication models with small to large slip lengths. J. Engrg. Math., 53(34):359383, 2005. (Also WIAS preprint number 1069.) 
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[RMWB05]  M. Rauscher, A. Münch, B. Wagner, and R. Blossey. A thinfilm equation for viscoelastic liquids of Jeffreys type. European Phys. J. E  Soft Matter, 17:373379, 2005. 
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[ESR04]  P. L. Evans, L. W. Schwartz and R. V. Roy. Steady and unsteady solutions for coating flow on a rotating horizontal cylinder: Twodimensional theoretical and numerical modeling. Phys. Fluids, 16(8): 27422756, 2004. 
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[MW04]  A. Münch and B. Wagner. Contactline instability of dewetting thin films. Physica D, 209(14):178190, 2005. 
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[Mue03]  A. Münch. Pinchoff transition in Marangonidriven thin films. Phys. Rev. Lett., 91(1):016105, 2003. 
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[Mue02]  A. Münch. The thickness of a Marangonidriven thin liquid film emerging from a meniscus. SIAM J. Appl. Math, 62(6):20452063, 2002. 
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