TY - CHAP A1 - Bestehorn, Michael A1 - Haken, H. T1 - Pattern Formation and Transients in the Convection Instability Y1 - 1985 ER - TY - CHAP A1 - Bestehorn, Michael A1 - Friedrich, R. A1 - Haken, H. T1 - Modulated Traveling Waves in Nonequilibrium Systems KW - 2D Order Parameter Models Y1 - 1990 ER - TY - CHAP A1 - Bestehorn, Michael A1 - Friedrich, R. T1 - Natural Patterns in Nonequilibrium Systems, in A Perspective Look at Nonlinear Media - From Physics to Biology and Social Sciences KW - 2D Order Parameter Models Y1 - 1998 ER - TY - CHAP A1 - Varlamova, Olga A1 - Reif, Jürgen A1 - Varlamov, Sergej A1 - Bestehorn, Michael ED - Sakabe, Shuji ED - Lienau, Christoph ED - Grunwald, Rüdiger T1 - Self-organized Surface Patterns Originatin from Laser-Induced Instability T2 - Progress in nonlinear nano-optics Y1 - 2015 SN - 978-3-319-12216-8 SN - 3-319-12216-9 SP - 3 EP - 29 PB - Springer CY - Cham [u.a.] ER - TY - CHAP A1 - Bestehorn, Michael T1 - Fluid Dynamics and Pattern Formation T2 - Encyclopedia of Complexity and Systems Science N2 - The state of a fluid is described by its velocity, density, pressure, and temperature. All these variables depend in general on space andtime. Pattern formation refers to the situation where one or more of these variables are organized within a certain spatial and/or temporalorder. This order has macroscopic length and time scales, that is, characteristic lengths and times are much larger than those of the atoms or moleculeswhich constitute the fluid. Therefore a continuous description is appropriate. Macroscopic fluid patterns may be encountered in nature as well as in technological applications for a large variety of different systems. Farfrom being complete, we mention some examples: Water waves caused by wind or by sea quakes and land slides (Tsunamis). Localized excitations of the surface of a fluid (solitons), such as that seen on shallow water channels. Shear instabilities in clouds or in multi-layer systems such as the Kelvin–Helmholtz instability or... KW - Fluid Dynamics Y1 - 2009 UR - https://link.springer.com/referenceworkentry/10.1007%2F978-0-387-30440-3_214 SN - 978-0-387-75888-6 U6 - https://doi.org/10.1007/978-0-387-30440-3 PB - Springer CY - New York, NY ER -