THREE-VELOCITY INVERSE PROBLEM FOR A LOADED SINGULARLY PERTURBED TRANSPORT EQUATION WITH A COLLISION INTEGRAL IN AN UNBOUNDED DOMAIN

Abstract

In this article, we study a multivelocity singularly perturbed inverse transport problem in an unbounded domain. In [1, 2] and others, the factor of the collision integral in conventional transport problems was the Maxwellian distribution or the Maxwellian distribution multiplied by the collision frequency. In contrast to the specified problem, here we consider a nonlinear singularly perturbed integro-differential transfer equation of the second order, and the violation of the smallness of the boundary layer function with respect to a small parameter is non-local, which is the relevance of studying the indicated singularly perturbed inverse problem.

The results of the studied singularly perturbed inverse problem are obtained on the basis of an asymptotic representation.