Nonlocal Rayleigh-Stokes Flows: Existence and Regularity Results
DOI:
https://doi.org/10.51453/2354-1431/2024/1193Keywords:
Existence, Regularity, Mild solution, Rayleigh–Stokes problem, Riemann–Liouville derivative.Abstract
We investigate the Rayleigh-Stokes problem for a generalized second-grade fluid with a fractional time derivative. Our study aims to prove the existence and regularity of classical solutions using fixed point techniques and asymptotic estimates of the resolvent operator.
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Bazhlekova, E., Jin, B., Lazarov, R., Zhou, Z.: An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid. Numer. Math. 131(1), 1-31 (2015)
Fetecau, C., Zierep, J.: The Rayleigh-Stokes problem for a Maxwell fluid. Z. Angew. Math. Phys. 54(6), 1086-1093 (2003)
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equation. Elsevier, Amsterdam (2006)
Zhou, Y.: Basic Theory of Fractional Differential Equations. World Scientific, Singapore (2014)
Zhou, Y., Wang, J.N.: The nonlinear Rayleigh-Stokes problem with Riemann-Liouville fractional derivative. Math. Methods Appl. Sci. 44, 2431-2438 (2021)
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