# On the uniqueness of a solution to a stationary convection-diffusion equation with a generalized divergence-free drift

## TL;DR

This paper proves the uniqueness of solutions for a stationary convection-diffusion equation with a generalized divergence-free drift that is exponentially summable, extending understanding of such PDEs.

## Contribution

It establishes the uniqueness of solutions under conditions involving exponentially summable divergence-free drifts, a novel extension in the theory of convection-diffusion equations.

## Key findings

- Uniqueness of solutions proven for specific drift conditions.
- Extension of PDE theory to generalized divergence-free drifts.
- Applicable to stationary convection-diffusion equations.

## Abstract

In this paper we establish the uniqueness of a solution to a stationary convection-diffusion equation in divergence form with an exponentially summable generalized divergence-free drift.