A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling-Reference-Cited by-同舟云学术

A coefficient identification problem for a system of advection-diffusion-reaction equations in water quality modeling

Published:2024-08-04 Issue: Volume: Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Hào Dinh Nho¹,Thành Nguyen Trung²^ORCID,Van Duc Nguyen³,Van Thang Nguyen⁴

Affiliation:

1. Hanoi Institute of Mathematics , VAST , 18 Hoang Quoc Viet Road, 10307 Hanoi , Vietnam

2. Department of Mathematics , 3536 Rowan University , 201 Mullica Hill Rd , Glassboro , NJ 08028 , USA

3. Department of Mathematics , Vinh University , 182 Le Duan Street , Vinh City , Vietnam

4. Quan Hanh Secondary School , Quan Hanh Town , Nghi Loc District, Nghe An Province , Vietnam

Abstract

Abstract The inverse problem of reconstructing two space-varying coefficients in a system of one-dimensional (1-d) time-dependent advection-diffusion-reaction (ADR) equations is considered. The ADR system can be used as a water quality model which describes the evolution of the biochemical oxygen demand (BOD) and dissolved oxygen (DO) in a river or stream. The coefficients to be reconstructed represents the effect of the deoxygenation and superficial reaeration processes on the DO and BOD concentration in water. Hölder stability estimates for the coefficients of interest are established using the Carleman estimate technique.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2024-0030/pdf

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