Identifying initial condition of the Rayleigh‐Stokes problem with random noise
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5455
Abstract: We investigate a backward problem for the Rayleigh‐Stokes problem, which aims to determine the initial status of some physical field such as temperature for slow diffusion from its present measurement data. This problem is well‐known… read more here.
Keywords: problem; solution; random noise; rayleigh stokes ... See more keywords
Determination of source term for the fractional Rayleigh–Stokes equation with random data
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2262-9
Abstract: In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the… read more here.
Keywords: stokes equation; determination source; rayleigh stokes; source term ... See more keywords
Identifying of unknown source term for the Rayleigh-Stokes problem
Sign Up to like & getrecommendations! Published in 2023 at "Thermal Science"
DOI: 10.2298/tsci23s1273p
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… read more here.
Keywords: problem; unknown source; identifying unknown; rayleigh stokes ... See more keywords