An analysis of the Rayleigh–Stokes problem for a generalized second-grade fluid

@article{Bazhlekova2015AnAO,
  title={An analysis of the Rayleigh–Stokes problem for a generalized second-grade fluid},
  author={E. Bazhlekova and B. Jin and R. Lazarov and Zhi Zhou},
  journal={Numerische Mathematik},
  year={2015},
  volume={131},
  pages={1 - 31}
}
We study the Rayleigh–Stokes problem for a generalized second-grade fluid which involves a Riemann–Liouville fractional derivative in time, and present an analysis of the problem in the continuous, space semidiscrete and fully discrete formulations. We establish the Sobolev regularity of the homogeneous problem for both smooth and nonsmooth initial data $$v$$v, including $$v\in L^2(\Omega )$$v∈L2(Ω). A space semidiscrete Galerkin scheme using continuous piecewise linear finite elements is… Expand
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