FINDING THE MINIMUM OF THE QUADRATIC FUNCTIONAL IN VARIATIONAL APPROACH IN TRANSPORT THEORY PROBLEMS

摘要

In this work it is reviewed the variational approach for some Transport Problems. Let X be a convex domain in R{sup}n, and V a compact set. For that, it is considered the following equation: {partial deriv}ψ/{partial deriv}t(x,v,t)+v·{nabla}ψ(x,v,t)+h(x,μ)ψ(x,v,t)=∫{sub}k(x,v,v')ψ(x,v',t)dv'+q(x,v,t) where x represents the spatial variable in a domain D, v an element of a compact set V, ψ is the angular flux, h(x,v) the collision frequency, k(x,v,v') the scattering kernel function and q(x,v) the source function.