Elliptic Systems of Phase Transition Type

• Κύριοι συγγραφείς: Alikakos, Nicholas D. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Fusco, Giorgio (http://id.loc.gov/vocabulary/relators/aut), Smyrnelis, Panayotis (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Progress in Nonlinear Differential Equations and Their Applications, 91
• Θέματα: Partial differential equations.; Calculus of variations.; Differential equations.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Ordinary Differential Equations.

This book focuses on the vector Allen-Cahn equation, which models coexistence of three or more phases and is related to Plateau complexes - non-orientable objects with a stratified structure. The minimal solutions of the vector equation exhibit an analogous structure not present in the scalar Allen-...

Πίνακας περιεχομένων:

• Introduction
• Connections
• Basics for the PDE System
• The Cut-Off Lemma and a Maximum Principle
• Estimates
• Symmetry and the Vector Allen-Cahn Equation: the Point Group in Rn
• Symmetry and the Vector Allen-Cahn Equation: Crystalline and Other Complex Structures
• Hierarchical Structure - Stratification
• Vector Minimizers in R2
• Radial Solutions of ∆u = c2u.