We establish existence and non-existence results for entire solutions to the fractional Allen-Cahn equation in R-3, which vanish on helicoids and are invariant under screw motion. In addition, we prove that helicoids are ...
Pino Manresa, Manuel del; Musso, Mónica; Pacard, Frank(2012)
We study entire solutions of the Allen-Cahn equation which are defined in the 3-dimensional Euclidean space and which are invariant under screw-motion. In particular, we discuss the existence and non existence of nontrivial ...
We study the diffusion of anti-plane elastic waves in a two dimensional continuum by many, randomly placed, screw dislocations. Building on a previously developed theory for coherent propagation of such waves, the incoherent ...