Electronic Theses and Dissertations

Identifier

376

Date

2011

Document Type

Dissertation

Degree Name

Doctor of Philosophy

Major

Mathematical Sciences

Concentration

Mathematics

Committee Chair

Thomas Hagen

Committee Member

James Campbell

Committee Member

Alistair Windsor

Committee Member

James Jamison

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 employedin 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.

Comments

Data is provided by the student.

Library Comment

Dissertation or thesis originally submitted to the local University of Memphis Electronic Theses & dissertation (ETD) Repository.

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