# A partial data inverse problem for the Convection-diffusion equation

**Authors:** Suman Kumar Sahoo, Manmohan Vashisth

arXiv: 1901.08026 · 2019-11-14

## TL;DR

This paper investigates the inverse problem of uniquely determining the convection term and density coefficient in a convection-diffusion equation using partial boundary measurements.

## Contribution

It provides new theoretical results on the uniqueness of recovering multiple unknown coefficients from partial boundary data in convection-diffusion equations.

## Key findings

- Proves uniqueness of the inverse problem under certain conditions
- Establishes stability estimates for the inverse problem
- Extends previous results to partial boundary measurements

## Abstract

In this article, we study the unique determination of convection term and the time-dependent density coefficient appearing in a convection-diffusion equation from partial Dirichlet to Neumann map measured on boundary.

## Full text

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## References

54 references — full list in the complete paper: https://tomesphere.com/paper/1901.08026/full.md

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Source: https://tomesphere.com/paper/1901.08026