Pattern Formation for a Local/Nonlocal Interaction Functional Arising in Colloidal Systems
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Publication:5119977
DOI10.1137/19M1276005zbMath1456.82210arXiv1810.11884OpenAlexW2954421061MaRDI QIDQ5119977
Publication date: 9 September 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11884
Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Variational principles of physics (49S05) Periodic optimal control problems (49N20)
Related Items (8)
On the ternary Ohta-Kawasaki free energy and its one-dimensional global minimizers ⋮ Optimal control problems of nonlocal interaction equations ⋮ Deterministic particle approximation of aggregation diffusion equations with nonlinear mobility ⋮ One-dimensionality of the minimizers in the large volume limit for a diffuse interface attractive/repulsive model in general dimension ⋮ Deterministic particle approximation of aggregation-diffusion equations on unbounded domains ⋮ Striped patterns for generalized antiferromagnetic functionals with power law kernels of exponent smaller than \(d + 2\) ⋮ One-dimensionality of the minimizers for a diffuse interface generalized antiferromagnetic model in general dimension ⋮ Nonlocal delay driven spatiotemporal patterns in a single-species reaction-diffusion model
Cites Work
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- Segregation effects and gap formation in cross-diffusion models
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- On the optimality of stripes in a variational model with non-local interactions
- The \(\Gamma\)-limit of the two-dimensional Ohta-Kawasaki energy. Droplet arrangement via the renormalized energy
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- Pattern formation of a nonlocal, anisotropic interaction model
- Stability Analysis of Line Patterns of an Anisotropic Interaction Model
- Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions
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