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Filtering by: Advisor Thomann, Enrique Committee Member Evans, Glenn Degree Name Doctor of Philosophy (Ph.D.)

The Stokes problem of fluid mechanics, Riesz transform, and the Helmholtz-Hodge decomposition : probabilistic methods and their representations

Creator:

Kim, HoeWoon

Abstract:

The flow of incompressible, viscous fluids in R³ is governed by the non-linear Navier-Stokes equations. Two common linearizations of the Navier-Stokes equations, the Stokes equations and the Oseen equations, are studied in this thesis using probabilistic methods. The incompressibility condition presents new challenges for the well known theory relating partial...

Resource Type:

Dissertation

Full Text:

Representations Abstract approved: Enrique A. Thomann The flow of incompressible, viscous fluids in R3 is