Scaling, Self-similarity, and Intermediate Asymptotics: by Grigory Isaakovich Barenblatt

By Grigory Isaakovich Barenblatt

Scaling legislation display the basic estate of phenomena, particularly self-similarity - repeating in time and/or area - which considerably simplifies the mathematical modelling of the phenomena themselves. This e-book starts from a non-traditional exposition of dimensional research, actual similarity thought, and normal thought of scaling phenomena, utilizing classical examples to illustrate that the onset of scaling isn't really till the impact of preliminary and/or boundary stipulations has disappeared but if the procedure continues to be faraway from equilibrium. a variety of examples from a various variety of fields, together with theoretical biology, fracture mechanics, atmospheric and oceanic phenomena, and flame propagation, are offered for which the guidelines of scaling, intermediate asymptotics, self-similarity, and renormalisation have been of decisive worth in modelling.

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