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An SBV relaxation of the Cross-Newell energy for modeling stripe patterns and their defects

Venkataramani, Shankar C.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsoptimization-and-controlpattern-formation-and-solitons
We investigate stripe patterns formation far from threshold using a combination of topological, analytic, and numerical methods. We first give a definition of the mathematical structure of `multi-valued' phase functions that are needed for describing layered structures or stripe patterns containing
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