@incollection{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Pattern Formation and Transients in the Convection Instability}, language = {en} } @incollection{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Modulated Traveling Waves in Nonequilibrium Systems}, language = {en} } @incollection{BestehornFriedrich, author = {Bestehorn, Michael and Friedrich, R.}, title = {Natural Patterns in Nonequilibrium Systems, in A Perspective Look at Nonlinear Media - From Physics to Biology and Social Sciences}, language = {en} } @incollection{VarlamovaReifVarlamovetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Varlamov, Sergej and Bestehorn, Michael}, title = {Self-organized Surface Patterns Originatin from Laser-Induced Instability}, series = {Progress in nonlinear nano-optics}, booktitle = {Progress in nonlinear nano-optics}, editor = {Sakabe, Shuji and Lienau, Christoph and Grunwald, R{\"u}diger}, publisher = {Springer}, address = {Cham [u.a.]}, isbn = {978-3-319-12216-8}, pages = {3 -- 29}, language = {en} } @incollection{Bestehorn, author = {Bestehorn, Michael}, title = {Fluid Dynamics and Pattern Formation}, series = {Encyclopedia of Complexity and Systems Science}, booktitle = {Encyclopedia of Complexity and Systems Science}, publisher = {Springer}, address = {New York, NY}, isbn = {978-0-387-75888-6}, doi = {10.1007/978-0-387-30440-3}, abstract = {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...}, language = {en} }