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An analysis of the fourth‐order PDEs – ‘patterns’ and ‘di‐block polymers’
Author(s) -
Phidane T.,
Kara A. H.,
Wang Gangwei
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4376
Subject(s) - mathematics , partial differential equation , conservation law , block (permutation group theory) , order (exchange) , differential equation , first order partial differential equation , hexagonal crystal system , mathematical analysis , combinatorics , chemistry , finance , economics , crystallography
We analyze some fourth‐order partial differential equations that model the ‘propagation of hexagonal patterns’ and the ‘microphase separation of di‐block copolymers’. The underlying invariance properties and conservation laws of the models and related partial differential equations are studied. Copyright © 2017 John Wiley & Sons, Ltd.