6533b836fe1ef96bd12a1c68

RESEARCH PRODUCT

Fiber Suspension Flows: Simulations and Existence Results

Uldis Strautins

subject

Nonlinear systemFiber suspensionState variableNorm (mathematics)Bounded functionFiber orientationConstitutive equationMathematical analysisMechanicsWell posednessMathematics

description

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.

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-23413-7_150