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Large‐Scale Behavior of Three‐Dimensional Continuous Phase Coexistence Models.

Authors :
Hairer, Martin
Xu, Weijun
Source :
Communications on Pure & Applied Mathematics. Apr2018, Vol. 71 Issue 4, p688-746. 3p.
Publication Year :
2018

Abstract

Abstract: We study a class of three‐dimensional continuous phase coexistence models, and show that, under different symmetry assumptions on the potential, the large‐scale behavior of such models near a bifurcation point is described by the dynamical Φ 3 p models for p ∊ {2,3,4}. This result is specific to space dimension 3 and does not hold in dimension 2. © 2018 Wiley Periodicals, Inc. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00103640
Volume :
71
Issue :
4
Database :
Academic Search Index
Journal :
Communications on Pure & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
128071487
Full Text :
https://doi.org/10.1002/cpa.21738