Classical and Stochastic Laplacian Growth

• Κύριοι συγγραφείς: Gustafsson, Björn (Συγγραφέας), Teodorescu, Razvan (Συγγραφέας), Vasil’ev, Alexander (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
• Σειρά: Advances in Mathematical Fluid Mechanics,
• Θέματα: Mathematics.; Functions of complex variables.; Numerical analysis.; Mathematical physics.; Mathematical Physics.; Numerical Analysis.; Functions of a Complex Variable.

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...

Πίνακας περιεχομένων:

• 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.