Exponential stabilization of the solution for time dependent neutron transport equation

Abstract

In this paper, we consider the time dependent neutron transport system concerning a bounded convex medium inR ³ with continuous energy and antisotropic scattering and fission. Under the condition of σ(τ,v)≥$\int_{E \times V_\Omega } {k(r,v,\Omega ,v\prime ,\Omega \prime )} dv\prime d\Omega \prime$ κ(τ,v,Ω,v′,Ω′)dv′dΩ′, we prove that the solution of the system is exponentially stable.