A rigorous derivation of mean-field models describing 2D micro phase separation
From MaRDI portal
Publication:2296768
DOI10.1007/s00526-020-1706-xzbMath1431.35254OpenAlexW3005761887MaRDI QIDQ2296768
Yoshihito Oshita, Barbara Niethammer
Publication date: 18 February 2020
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-020-1706-x
Statistical mechanics of polymers (82D60) Free boundary problems for PDEs (35R35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with statistical mechanics (35Q82)
Cites Work
- Unnamed Item
- A rigorous derivation of mean-field models for diblock copolymer melts
- Coarsening and self-organization in dilute diblock copolymer melts and mixtures
- An application of the modular function in nonlocal variational problem
- Some mathematical aspects of the micro-phase separation in diblock copolymers
- Evolution in off-critical diblock copolymer melts
- On energy minimizers of the diblock copolymer problem
- Singular limit of a second order nonlocal parabolic equation of conservative type arising in the micro-phase separation of diblock copolymers
- Smooth unique solutions for a modified Mullins-Sekerka model arising in diblock copolymer melts
- The Nishiura--Ohnishi Free Boundary Problem in the 1D Case
- Uniform energy distribution for an isoperimetric problem with long-range interactions
- On the Spectra of Three-Dimensional Lamellar Solutions of the Diblock Copolymer Problem
- Analytical solutions describing the phase separation driven by a free energy functional containing a long-range interaction term
- Higher Dimensional SLEP Equation and Applications to Morphological Stability in Polymer Problems
- Concentrically layered energy equilibria of the di-block copolymer problem
- Periodicity and Uniqueness of Global Minimizers of an Energy Functional Containing a Long-Range Interaction
- Ostwald ripening: The screening length revisited
This page was built for publication: A rigorous derivation of mean-field models describing 2D micro phase separation