In the introduction we got acquainted with a number of systems in which spatial patterns evolve in a self-organized fashion. Such patterns may arise in continuous media such as fluids, or in cell assemblies in biological tissues. In this chapter we want to show how the methods introduced in the preceding chapters allow us to cope with the formation of such patterns. We note that such patterns need not be time independent but may be connected with oscillations or still more complicated time-dependent motions. Throughout this chapter we shall consider continuous media or problems in which a discrete medium, e.g., a cell assembly, can be well approximated by a continuum model.
KeywordsNusselt Number Reaction Diffusion Equation Stochastic Partial Differential Equation Finite Geometry Preceding Chapter
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