# Extensibility of a system of transport equations in the case of an impermeable boundary

## TL;DR

This paper demonstrates how a system of transport equations with nonhomogeneous terms can be extended from a domain with an impermeable boundary to the entire space, ensuring broader applicability.

## Contribution

It introduces a method to extend transport equations from a bounded domain with an impermeable boundary to the whole space, enhancing their analytical and computational flexibility.

## Key findings

- Extension is possible for steady and unsteady systems.
- Works for domains with $C^2$-boundary.
- Applicable to nonhomogeneous right hand sides.

## Abstract

We show that the steady and unsteady system of transport equations with a nonhomogeneous right hand side can be extended from its domain that possesses an impermeable $C^2$-boundary to the whole space.