Geometrically constrained walls

DOI10.1007/s00526-006-0030-4zbMath1112.49036OpenAlexW2113199225MaRDI QIDQ859770

Robert V. Kohn, Valeriy V. Slastikov

Publication date: 18 January 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0030-4

zbMATH Keywords

\(\Gamma\)-convergencemagnetic domain wallssharp thin necks

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

The diffusion equation in a notched beam ⋮ Geometrically constrained walls in two dimensions ⋮ Geometrically induced phase transitions in two-dimensional dumbbell-shaped domains

Cites Work

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• A nonlinear parabolic equation with varying domain
• The thick Neumann's sieve
• Singular perturbation of domains and the semilinear elliptic equation. II
• Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths.
• Thin notched beams
• Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
• The diffusion equation in a notched beam
• Local minimisers and singular perturbations
• Ginzburg--Landau Model in Thin Loops with Narrow Constrictions

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