21 citations · 26 across the 3 of their papers we have counts for
3 papers
math.DS2015★ 5 cited
Motion of a droplet for the mass-conserving stochastic Allen-Cahn equation
Dimitra C. Antonopoulou, Peter W. Bates, Dirk Blömker +1
We study the stochastic mass-conserving Allen-Cahn equation posed on a bounded two-dimensional domain with additive spatially smooth space-time noise. This equation associated with…
math.AP2014
Multyphase solutions to the vector Allen-Cahn equation: Crystalline and other complex symmetric structures
Peter W. Bates, Giorgio Fusco, Panayotis Smyrnelis
We present a systematic study of entire symmetric solutions of the vector Allen-Cahn equation , where is smooth,…
q-bio.BM2006★ 21 cited
The minimal molecular surface
P. W. Bates, G. W. Wei, Shan Zhao
We introduce a novel concept, the minimal molecular surface (MMS), as a new paradigm for the theoretical modeling of biomolecule-solvent interfaces. When a less polar macromolecule…