A variational theory for point defects in patterns
classification
🧮 math.AP
nlin.PS
keywords
defectssystemscharactercorrespondingcross-newellderivedescribeenergy-minimizing
read the original abstract
We derive a rigorous scaling law for minimizers in a natural version of the regularized Cross-Newell model for pattern formation far from threshold. These energy-minimizing solutions support defects having the same character as what is seen in experimental studies of the corresponding physical systems and in numerical simulations of the microscopic equations that describe these systems.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.