Droplet solutions in the diblock copolymer problem with skewed monomer composition
type: Item
instance of: scholarly article
title: Droplet solutions in the diblock copolymer problem with skewed monomer composition
zbMATH Open document ID: 1088.82033
author: Xiaofeng Ren
author: Juncheng Wei
published in: Calculus of Variations and Partial Differential Equations
publication date: 2006-03-21T00:00:00Z
review text: A diblock copolymer molecule is a linear sub-chain of \(N_{A}\) A-monomers grafted covalently to another sub-chain of \(N_{B}\) B-monomers. The paper deals with the case when \(N_{A}\) and \(N_{B}\) are large but with different orders of magnitude. In order to obtain their main result regarding the existence and the definition of the free energy of the local minimizer, the author uses a Lyapunov-Schmidt reduction approach combined with the constructing of a manifold of approximate solutions together with its fibers, and the fiber solution is connected to the variational structure of the free energy.
Mathematics Subject Classification ID: 82D60
zbMATH DE Number: 5014074
zbMATH Keywords: diblock copolymer
zbMATH Keywords: Lyapunov-Schmidt reduction
reviewed by: Guy Jumarie
MaRDI profile type: Publication
full work available at URL: s00526-005-0345-6
OpenAlex ID: W1990206922
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DOI: 10.1007/S00526-005-0345-6
description: scientific article; zbMATH DE number 5014074