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Classical and Stochastic Laplacian Growth

This monograph covers a multitude of concepts, results, and research topics originating from a classical moving-boundary problem in two dimensions (idealized Hele-Shaw flows, or classical Laplacian growth), which has strong connections to many exciting modern developments in mathematics and theoreti...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gustafsson, Björn (Autor), Teodorescu, Razvan (Autor), Vasil'ev, Alexander (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
Edición:1st ed. 2014.
Colección:Advances in Mathematical Fluid Mechanics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Introduction and Background
  • 2 Rational and Other Explicit Strong Solutions
  • 3 Weak Solutions and Related Topics
  • 4 Geometric Properties
  • 5 Capacities and Isoperimetric Inequalities
  • 6 Laplacian Growth and Random Matrix Theory
  • 7 Integrability and Moments
  • 8 Shape Evolution and Integrability
  • 9 Stochastic Löwner and Löwner-Kufarev Evolution
  • References
  • List of Symbols
  • Index.