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We postulate that almost any motion of an interface between two crystals can produce a coupled tangential motion of the two crystals relative to each other which is proportional to the normal motion of the interface. Such translations can produce grain rotations ; the special case of the rotations of shrinking included circular cylindrical grains which… (More)

We use an expanded variational approach based on dissipation to study the motion of the boundary of a non-circular cylindrical, and thus essentially 2-dimensional, crystalline grain of arbitrary cross-section enclosed in another grain of the same material under conditions where the normal grain boundary motion is coupled to relative tangential motion of the… (More)

- D. Snoke, Rita R. Colwell, +10 authors Richard S. Nicholson
- 2006

Four challenges to mathematics research posed by the field of materials science are given, plus an additional challenge purely from the field of geometric measure theory. The problems all concern the effects of surface and grain boundary free energy: motion by weighted mean curvature and/or surface diffusion and/or other kinetics, proofs of minimality of… (More)

- G. J. Lithgow, Rita R. Colwell, +10 authors Richard S. Nicholson
- 2006

- Jean E Taylor
- 2007

Mathematical models for various types of crystal surface motions have been made. They all reduce some energy which includes a given (usually crystalline) anisotropic surface free energy and perhaps a bulk free energy. The mechanisms which govern the motions are attachment/detachment kinetics, diiusion of atoms over surfaces, and perhaps diiusion within the… (More)

- Jean E. Taylor
- Discrete & Computational Geometry
- 1991

- James G. Arthur, Walter Craig, +13 authors Abigail A. Thompson
- 2004

President David Eisenbud presided over the EC and ECBT portions of the meeting (items beginning with 0, 1, or 2). Board Chair John Conway presided over the BT portion of the meeting (items beginning with 3). Items occur in numerical order, which is not necessarily the order in which they were discussed at the meeting. President Eisenbud convened the meeting… (More)

- H S Davies, J E Taylor, M R Daniel, C Wakerley
- The Journal of experimental medicine
- 1976

Evidence is presented that there are differences between pig liver and kidney parenchymal cells in the expression of major histocompatibility complex antigens. Analogues of I-region antigens of the mouse are detectable on kidney cells and some peripheral blood leukocytes (PBL) but not on liver, platelets, and other PBL. Such differences between liver and… (More)

- Jean E. Taylor
- Experimental Mathematics
- 1997