We show that the two-dimensional exterior boundary-value problem (flow past a cylinder) associated with a class of shear-thinning liquid models possesses at least one solution for data of arbitrary "size". This result must be contrasted with its counterpart for the Navier-Stokes model, where a similar result is known to hold, to date, only if the size of the data is sufficiently restricted.
Existence and regularity of steady flows for shear-thinning liquids in exterior two-dimensional
GRISANTI, CARLO ROMANO
2011-01-01
Abstract
We show that the two-dimensional exterior boundary-value problem (flow past a cylinder) associated with a class of shear-thinning liquid models possesses at least one solution for data of arbitrary "size". This result must be contrasted with its counterpart for the Navier-Stokes model, where a similar result is known to hold, to date, only if the size of the data is sufficiently restricted.File in questo prodotto:
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