Navier-Stokes flow for a fluid jet with a free surface
by Ceci, Shaun J., Ph.D., THE UNIVERSITY OF MEMPHIS, 2011, 135 pages; 3485910

Abstract:

The three-dimensional Navier-Stokes flow of a viscous fluid jet bounded by a moving free surface under isothermal conditions and without surface tension is considered. The fluid domain is assumed to be periodic in the axial direction and initially axisymmetric. A local-in-time existence and regularity result is proven for the full governing equations using a contraction argument in an appropriate function space. Here a Lagrangian specification of the flow field is employed in order to mitigate the difficulties involved in dealing with an evolving fluid domain. It is also shown that the associated linear problem gives rise to an analytic semigroup of contractions on the space of divergence-free Lebesgue-square-integrable vector fields.
 
AdviserThomas C. Hagen
SchoolTHE UNIVERSITY OF MEMPHIS
SourceDAI/B 73-03, p. , Dec 2011
Source TypeDissertation
SubjectsApplied mathematics; Mathematics
Publication Number3485910
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