Kumar, PranavPranavKumarPurohit, AnamikaAnamikaPurohit2025-08-312025-08-312025-01-0110.1080/00036811.2025.24543852-s2.0-85215378769http://repository.iitgn.ac.in/handle/IITG2025/28352We study a local data inverse problem for the time-dependent convection–diffusion equation in a bounded domain where a part of the boundary is treated to be inaccessible. Up on assuming the inaccessible part to be flat, we seek for the unique determination of the time-dependent convection and the density terms from the knowledge of the boundary data measured outside the inaccessible part. In the process, we show that there is a natural gauge in the perturbations, and we prove that this is the only obstruction in the uniqueness result.falseconvection–diffusion equation | Inverse problems | time-dependent coefficientsArticle1563504X2195-220420250arJournal0