The dynamics of curved fronts: Beyond geometry Academic Article uri icon

abstract

  • We derive a new set of kinematic equations for front motion in two-dimensional bistable media. The equations generalize the geometric approach by complementing the equation for the front curvature with an order parameter equation associated with a nonequilibrium Ising-Bloch bifurcation. The resulting equations capture the core structure of spiral waves and spontaneous spiral-wave nucleation. {copyright} {ital 1997} {ital The American Physical Society}

publication date

  • January 1, 1997