All Outputs (2)

New type I ancient compact solutions of the Yamabe flow (2017)
Journal Article
Daskalopoulos, P., del Pino, M., King, J., & Sesum, N. (2017). New type I ancient compact solutions of the Yamabe flow. Mathematical Research Letters, 24(6), 1667-1691. https://doi.org/10.4310/MRL.2017.v24.n6.a5

We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions. They are type I ancien... Read More about New type I ancient compact solutions of the Yamabe flow.

Stress-dependent local oxidation of silicon (2017)
Journal Article
Evans, J. D., & King, J. R. (2017). Stress-dependent local oxidation of silicon. SIAM Journal on Applied Mathematics, 77(6), 2012-2039. https://doi.org/10.1137/16M1060613

The two-dimensional isolation oxidation of silicon is considered for stress-dependent reaction and diffusion coefficients. The influence of such parameters is investigated numerically and asymptotically in the bird's beak problem and for curved geome... Read More about Stress-dependent local oxidation of silicon.