39 citations · 52 across the 3 of their papers we have counts for
3 papers
math.OC2004★ 39 cited
Newton's aerodynamic problem in media of chaotically moving particles
Alexander Yu. Plakhov, Delfim F. M. Torres
We study the problem of minimal resistance for a body moving with constant velocity in a rarefied medium of chaotically moving point particles, in Euclidean space R^d. The particle…
math.OC2004★ 10 cited
Optimal Control of Newton-Type Problems of Minimal Resistance
Delfim F. M. Torres, Alexander Yu. Plakhov
We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessar…
math.OC2004★ 3 cited
Two-Dimensional Problems of Minimal Resistance in a Medium of Positive Temperature
Alexander Yu. Plakhov, Delfim F. M. Torres
We study the Newton-like problem of minimal resistance for a two-dimensional body moving with constant velocity in a homogeneous rarefied medium of moving particles. The distributi…