Advances in Differential Equations

Singular limit of a fourth-order problem arising in the microphase separation of diblock copolymers

M. Henry

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Abstract

We study the limiting behavior as $\varepsilon$ tends to zero of the solution of a system arising in the microphase separation of diblock copolymers. This system involves a fourth-order parabolic equation. We consider the case of spherical symmetry, and we show the convergence to a free-boundary Hele--Shaw-type problem.

Article information

Source
Adv. Differential Equations Volume 6, Number 9 (2001), 1049-1114.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1357140404

Mathematical Reviews number (MathSciNet)
MR1852628

Zentralblatt MATH identifier
1010.35003

Subjects
Primary: 35B25: Singular perturbations
Secondary: 35A15: Variational methods 35K30: Initial value problems for higher-order parabolic equations 35Q80: PDEs in connection with classical thermodynamics and heat transfer 35R35: Free boundary problems

Citation

Henry, M. Singular limit of a fourth-order problem arising in the microphase separation of diblock copolymers. Adv. Differential Equations 6 (2001), no. 9, 1049--1114. https://projecteuclid.org/euclid.ade/1357140404.


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