Identification of source term for the Rayleigh‐Stokes problem with Gaussian random noise

In this paper, we study an inverse source problem for the Rayleigh‐Stokes problem for a generalized second‐grade fluid with a fractional derivative model. The problem is severely ill‐posed in the sense of Hadamard. To regularize the unstable solution, we apply a general filter method for constructin...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2018-09, Vol.41 (14), p.5593-5601
Main Authors: Nguyen, Anh Triet, Luu, Vu Cam Hoan, Nguyen, Hoang Luc, Nguyen, Huy Tuan, Nguyen, Van Thinh
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Gaussian random noise
general filter method
Random noise
Rayleigh‐Stokes problem
Stokes law (fluid mechanics)
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Summary:In this paper, we study an inverse source problem for the Rayleigh‐Stokes problem for a generalized second‐grade fluid with a fractional derivative model. The problem is severely ill‐posed in the sense of Hadamard. To regularize the unstable solution, we apply a general filter method for constructing regularized solution, and the convergence rate of this method also has been investigated.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5101