Showing papers by "Horacio G. Rotstein published in 1999"

TL;DR: In this paper, a hyperbolic flow by mean curvature equation, νt+γv=κ, for the evolution of interfaces is studied. And a crystalline algorithm is developed for the motion of closed convex polygonal curves; such curves may exhibit damped oscillations and their shape appears to rotate during the evolutionary process.

TL;DR: In this article, the authors considered a hyperbolic system of PDEs with a nonconserved order parameter φ and temperature u and derived a law for the evolution of the interface which generalizes the classical flow by mean curvature equation.