Tuesday, May 13

10:30 AM-12:10 PM
Peale B Room

MS19
Singularly Perturbed Variational Problems from Materials Science

Singularly perturbed variational problems occur in many areas of mechanics. In the mechanics of membranes the singular perturbation is bending energy; in the study of faceted interfaces it is edge energy; in the analysis of phase transformations it is surface energy; in some problems of micromagnetics it is Bloch wall energy. In some settings the unperturbed problem has many classical solutions and the singular perturbation provides a selection mechanism. In other settings, the unperturbed problem prefers microstructure and the singular perturbation chooses its pattern and length scale. This minisymposium will focus on current progress on selected problems of both types.

Organizer: Robert V. Kohn
Courant Institute of Mathematical Sciences, New York University

10:30-10:50 Effects of Edge Energy on Equilibrium Crystal Shapes

Jenny Kelley, Texas A&M University

10:55-11:15 Ridge Singularities in Thin Elastic Membranes

Alexander E. Lobkovsky, University of California, Santa Barbara

11:20-11:40 Singular Perturbations and the Energy of Folds

Weimin Jin,Courant Institute of Mathematical Sciences, New York University; and Robert V. Kohn, Organizer

11:45-12:05 Relaxation via Higher Order Energy Convergence

Michael G. Hilgers, University of Missouri, Rolla

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