Stability of spot and ring solutions of the diblock copolymer equation

DOI10.1063/1.1782280zbMath1064.82040OpenAlexW2140577964MaRDI QIDQ3024098

Xiaofeng Ren, Wei, Juncheng

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/618f6a1a706b6f3bb12df797544b4e834b30da78

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Singular perturbations in context of PDEs (35B25) Statistical mechanics of polymers (82D60) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20)

Related Items (12)

Droplet solutions in the diblock copolymer problem with skewed monomer composition ⋮ On global minimizers for a variational problem with long-range interactions ⋮ Minimality via second variation for microphase separation of diblock copolymer melts ⋮ Minimality via second variation for a nonlocal isoperimetric problem ⋮ Global existence and stability for the modified Mullins-Sekerka and surface diffusion flow ⋮ MANY DROPLET PATTERN IN THE CYLINDRICAL PHASE OF DIBLOCK COPOLYMER MORPHOLOGY ⋮ The pattern of multiple rings from morphogenesis in development ⋮ Schwarz P surfaces and a non local perturbation of the perimeter ⋮ Single droplet pattern in the cylindrical phase of diblock copolymer morphology ⋮ On periodic critical points and local minimizers of the Ohta-Kawasaki functional ⋮ On the first and second variations of a nonlocal isoperimetric problem ⋮ Ring pattern solutions of a free boundary problem in diblock copolymer morphology

Cites Work

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