Classical and stochastic Laplacian growth

DOI10.1007/978-3-319-08287-5zbMath1311.76026OpenAlexW653764947MaRDI QIDQ476622

Björn Gustafsson, Razvan Teodorescu, Alexander Vasil'ev

Publication date: 2 December 2014

Published in: Advances in Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08287-5

zbMATH Keywords

geometric propertiesweak solutionsHele-Shaw flowsLaplacian growthshape evolutionLöwner-Kufarev evolutionPolubarinova-Galin equation

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Navier-Stokes equations (35Q30) Conformal mappings of special domains (30C20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Free boundary problems for PDEs (35R35) Quasiconformal mappings in the complex plane (30C62) Other free boundary flows; Hele-Shaw flows (76D27) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

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