DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** John Gemmer, Brown University

**Title: ***
Isometric Immersions and Pattern Formation in Thin Elastic Sheets*

**Abstract:**
Swelling thin elastic sheets are archetypical examples of pattern forming systems which are often modeled as the minimum an elastic energy which is the sum of a strong stretching energy which penalizes deviations from a growth induced geometry and a weak bending energy. A fundamental question is whether we can deduce the three dimensional configuration of the sheet given exact knowledge of the swelling pattern. Using a combination of analysis and numerical conjectures I will argue that the periodic patterns observed in nature correspond to low energy isometric immersions of an imposed geometry.

**Time:** Friday, November 21, 2014, 1:30-2:30 p.m.

**Place:** Exploratory Hall (formerly S & T II), Room 4106

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491