Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers

DOI10.14492/HOKMJ/1350659158zbMATH Open1041.35008OpenAlexW2017636388MaRDI QIDQ1423460

Danielle Hilhorst, Marie Henry, Yasumasa Nishiura

Publication date: 1 March 2004

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

Full work available at URL: https://doi.org/10.14492/hokmj/1350659158

zbMATH Keywords

asymptotic expansionslimit problemlimiting free boundary problemnonlocal motion by mean curvature

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35)

Related Items (6)

Coarsening and self-organization in dilute diblock copolymer melts and mixtures ⋮ A rigorous derivation of mean-field models for diblock copolymer melts ⋮ Lamellar phase solutions for diblock copolymers with nonlocal diffusions ⋮ Competition reation-diffusion and asymptotical behaviour of a doubly nonlinear obstacle problem ⋮ An application of the modular function in nonlocal variational problem ⋮ A rigorous derivation of mean-field models describing 2D micro phase separation

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