## A factorization theorem for operators occurring in the Stokes, Brinkman and Oseen equations

- Suman Kumar Tumuluri, T. Amaranath
- Applied Mathematics and Computation
- 2016

1 Excerpt

- Published 2001 in Physical review. E, Statistical, nonlinear, and…

A number of closed-form fundamental solutions for generalized unsteady Oseen and Stokes flows associated with arbitrary time-dependent translational and rotational motions have been developed. These solutions are decomposed into two parts corresponding to a longitudinal wave and a transversal wave. As examples of application, the hydrodynamic forces acting on a sphere and on a circular cylinder translating in an unsteady rotating flow field at low Reynolds numbers are calculated using the generalized fundamental solutions.

@article{Shu2001GeneralizedFS,
title={Generalized fundamental solutions for unsteady viscous flows.},
author={Ji Shu and Allen T. Chwang},
journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
year={2001},
volume={63 5 Pt 1},
pages={051201}
}