A Variational Theory for Point Defects in Patterns
نویسندگان
چکیده
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 energyminimizing 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.
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ورودعنوان ژورنال:
- J. Nonlinear Science
دوره 19 شماره
صفحات -
تاریخ انتشار 2009