Abstract
In this course, I wish to give an overview on methods applied in systems showing macroscopic, self-organized pattern formation (Haken, 2004; Pismen, 2006). The course is based on six lectures, organized as follows : 1 — Introduction. 2 — Thick films, undeformable surface — pure fluids. 3 — Thick films, undeformable surface — binary mixtures. 4 — Reduced description — order parameter equations. 5 — Thin films with a deformable surface. 6 — Spinodal dewetting.
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Bibliography
M. Bestehorn, Phys. Rev. E48:3622, 1993.
M. Bestehorn, Phys. Rev. Lett. 76:46–49, 1996.
M. Bestehorn, Hydrodynamik und Strukturbildung, Springer Press Berlin, 2006.
M. Bestehorn, P. Colinet (2000), Physica D145:84
M. Bestehorn, R. Friedrich, Phys. Rev. E59:2642, 1999.
M. Bestehorn, K. Neuffer, Phys. Rev. Lett. 87:046101, 2001.
M. Bestehorn, A. Pototsky, U. Thiele, Eur. Phys. J. B33:457, 2003.
J. Burelbach, S. Bankoff, S. Davis, J. Fluid Mech. 195:463, 1988.
F.H. Busse, N. Riahi, J. Fluid Mech. 96:243–256, 1980.
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Dover Press New York, 1981.
A. J. Chorin, J. E. Marsden, A Mathematical Introduction to Fluid Mechanics, Springer Press Berlin, 1993.
P. Colinet, J. P. Legros, M. G. Velarde, Nonlinear Dynamics of Surface-Tension-Driven Instabilities, Wiley-VCH, 2001.
M. C. Cross, P. C. Hohenberg, Rev. Mod. Phys. 65:851, 1993.
K. Eckert, M. Bestehorn, A. Thess, J. Fluid Mech. 356:155, 1998.
T. E. Faber, Fluid Dynamics for Physicists, Cambridge University Press, 1995.
C. A. J. Fletcher, Computational Techniques for Fluid Dynamics, Vol.1,2, Springer Press Berlin, 1991.
H. Haken, Synergetics: Introduction and Advanced Topics. Springer Press Berlin, 2004.
C. Hirsch, Numerical Computation of Internal and External Flows, Vol.1,2 Wiley, 1988.
J. N. Israelachvili, Intermolecular and Surface Forces, Academic Press, 1992.
E. L. Koschmieder (1993), Bénard Cells and Taylor Vortices, Cambridge University Press, 1993.
M. P. K. Kundu, Fluid Mechanics, Academic Press, 2004.
P. Manneville, Dissipative Structures and Weak Turbulence, Academic Press, 1990.
J. D. Murray, Mathematical Biology I, II, Springer Press Berlin, 2002.
A. A. Nepomnyashchy, M. G. Velarde, P. Colinet, Interfacial phenomena and convection, Chapman & Hall/CRC, Boca Raton, 2002.
A. Oron, Phys. Fluids 12:1633, 2000.
A. Oron, S. H. Davis, S. G. Bankoff, Rev. Mod. Phys. 69:931, 1997
L. M. Pismen, Patterns and Interfaces in Dissipative Dynamics, Springer Press Berlin, 2006.
W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling, Numerical Recipes, Cambridge University Press, 1992.
S. J. Van Hook, M. F. Schatz, J. B. Swift, W. D. McCormick, H. L. Swinney, J. Fluid Mech. 345:45, 1997.
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Bestehorn, M. (2010). Three Dimensional Film Dynamics. In: Colinet, P., Nepomnyashchy, A. (eds) Pattern Formation at Interfaces. CISM International Centre for Mechanical Sciences, vol 513. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0125-4_3
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