Publication:
Identifying of Unknown Source Term for the Rayleigh-Stokes Problem
Identifying of Unknown Source Term for the Rayleigh-Stokes Problem
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Date
2023
Authors
Tran Thanh PHONG, Devendra KUMAR, and Le Dinh LONG
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Abstract
In this paper, we would like to briefly introduce some applications of fractional derivatives in the fields of heat and fluid-flows. However, our main focus is on study an inverse source problem for the Rayleigh-Stokes problem. The problem is severely ill-posed. We verify the ill-posedness of Problem 1, applying the modified Lavrentiev to construct a regularization from the exact data. After that, we established the convergent rate between the exact solution and its approximation. Furthermore, we have the estimate in Lq space
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Keywords
"unknown source,
Rayler-Stokes problem,
regularization method,
inverse problem"