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Showing 1 to 3 of 3 for “"Laplacian growth"”.
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Transport-limited aggregation and dense granular flow
… In the first part, a model for interfacial growth driven by general transport processes is proposed to generalize Laplacian growth such as diffusion-limited aggregation (DLA) and viscous fingering. The fractal properties, crossover in morphology, and relation between continuous and …
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Theory of the growth and shape of Laplacian stream networks
… in this part are equally applicable to any Laplacian network driven by locally symmetric Laplacian growth. Second, I consider the longitudinal profiles of a river network whose river slopes are sufficiently large to carry sediment downstream. This restriction on the profile of a river has …
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Fluctuations and mixing for planar random growth
We study two models of random growth by aggregation on the plane, which turn out to share similar asymptotic features. The first part of this thesis focuses on the Hastings-Levitov model HL(0), according to which clusters of particles are built on the complex plane by iterated composition of random …