Elliptic Systems of Phase Transition Type

• Main Authors: Alikakos, Nicholas D. (Author, 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)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Progress in Nonlinear Differential Equations and Their Applications, 91
• Subjects: 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-...