On a flow of liquid crystal in the axisymmetric boundary layerстатья
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Дата последнего поиска статьи во внешних источниках: 20 февраля 2024 г.
Аннотация:We have studied the two-dimensional axisymmetric Ericksen–Leslie equations with the non-zero inertial constant. The existence and uniqueness of the global weak solution is proved under certain assumptions. In the neighbourhood of the solid surface we derived the boundary layer equations and show that the effective viscosity of the liquid in the boundary layer decreases as the inertial constant grows. Under the assumption that the Reynolds number is large enough we prove the solution to the boundary layer equations to be close to the solution of the original problem in the Sobolev space.