Optimal boundary control of heat transfer in a one-dimensional material: A hyperbolic model
Рэм Константинович Романовский, Н. Г. Чурашева · Differential Equations · 2012
We consider a boundary value problem describing heat propagation in a rod in the framework of a hyperbolic model of heat transfer. We construct a class, depending on a function parameter, of boundary data (controls) ensuring a given rod temperature distribution at a given time; by using the Lagrange method, from this class, we single out a unique control minimizing a given loss function.