Main result of this article is demonstrating the weak global in time well posedness result for the equations governing fiber suspension flows for sufficiently small initial data under mild assumptions about the nonlinear equation for fiber orientation dynamics and the constitutive law, thus extending the previous local in time results. The required estimate of growth of the H 2 norm is granted if the L ∞ norm of fiber orientation state variables remains bounded. This is the case for fiber orientation tensors.
- Existence result
- Fiber orientation dynamics
- Fiber suspension flow
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This work was partially supported by the grant 623/2014 of the Latvian Council of Science.
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Strautins, U. (2016). Fiber Suspension Flows: Simulations and Existence Results. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_150
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23412-0
Online ISBN: 978-3-319-23413-7