Titlebook: Classical and Stochastic Laplacian Growth; Björn Gustafsson,Razvan Teodorescu,Alexander Vasil Book 2014 Springer International Publishing

Gentry

顾客

https://doi.org/10.1007/978-3-319-08287-5Laplacian growth model; balayage; free-boundary problems; inverse-moment problem; random matrices; stocha

鞭子

capsaicin

Introduction and Background,e . acts over an area ., then the ratio between the tangential component of . and . gives a shear stress across the liquid. The liquid’s response to this applied shear stress is to flow. In contrast, a solid body undergoes a definite displacement or breaks completely when subject to a shear stress.

富饶

Rational and Other Explicit Strong Solutions,ith the classical ones of Polubarinova-Kochina [438], [439], Galin [199] and Saffman, Taylor [488], [489]. Some properties of polynomial and rational solutions will be discussed, and it will be proved that the property of the conformal map to the fluid domain of being a polynomial or a rational func

Folklore

ABYSS

Geometric Properties,pretations are considered. In particular, we ask the following question: which geometrical properties are preserved during the time evolution of the moving boundary? We also discuss the geometry of weak solutions.

CHOKE

Capacities and Isoperimetric Inequalities,side by the (straight) Mediterranean coast and agreed to pay a fixed sum for as much land as could be enclosed by a bull’s hide. Both statements can be expressed in a more algebraic form which indeed underlines the fact that they are equivalent.

maculated

Laplacian Growth and Random Matrix Theory,lation to the multi-particle wavefunction description of the Quantum Hall Effect, in the single-Landau level approximation. As pointed out in [551], the classical Laplacian growth and its stochastic variant based on the normal random matrix theory (NRMT) can be identified to the dispersionless limit

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