Geodesic
Self-similar solutions of the Laplacian growth problem in the half-plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 28-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate a version of the Laplacian growth problem with zero surface tension in the upper half-plane. Using the method of time-dependent conformal maps, we find families of self-similar exact solutions that are expressible in terms of the hypergeometric function.
Keywords: Laplacian growth, integrable system
Mots-clés : conformal map, harmonic moment. 
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D. V. Vasiliev; A. V. Zabrodin. Self-similar solutions of the Laplacian growth problem in the half-plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 166 (2011) no. 1, pp. 28-43. http://geodesic.mathdoc.fr/item/TMF_2011_166_1_a1/

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