Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts

DOI10.14492/hokmj/1350911774zbMath1017.35088OpenAlexW2008331381MaRDI QIDQ1599804

Joachim Escher, Yasumasa Nishiura

Publication date: 11 August 2003

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1350911774

zbMATH Keywords

curvatureCahn-Hilliard equationHele-Shaw flowMullins-Sekerka flowdiblock copolymer melt

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) PDEs in connection with fluid mechanics (35Q35) Maximum principles in context of PDEs (35B50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (4)

Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ A rigorous derivation of mean-field models for diblock copolymer melts ⋮ Lamellar phase solutions for diblock copolymers with nonlocal diffusions ⋮ A rigorous derivation of mean-field models describing 2D micro phase separation

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