Spatial and Temporal Damping of Fluid Perturbation at a Distance

Undergraduate Thesis Or Project

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/7d278v35w

Descriptions

Attribute Name	Values
Creator	Baldwin, Andy
Abstract	A recent article by Cozzi and Kelliher [3] has demonstrated a sense of "locality" to the incompressible Euler equations which mirrors physical fluid behavior. We further develop the corresponding notion of "damping," and identify both temporal and local damping behaviors. To represent this problem, we perturb the initial condition of a fluid system in Rᵈ and bound the effects of this perturbation at later times. We extend the previous L² result to the incompressible Navier-Stokes equations with any viscosity. Based on this result in L², we derive a similar bound in L∞. We discuss the analogies between these bounds and the contributions due to the perturbation to the total kinetic energy and maximum velocity within a compact region of interest.
Resource Type	Undergraduate Thesis
Date Available	2017-06-07T21:26:30+00:00
Date Issued	2017-06-07
Degree Level	Bachelor's
Degree Name	Bachelor of Science (B.S.)
Degree Field	Physics
Degree Grantor	Oregon State University
Commencement Year	2017
Advisor	Cozzi, Elaine
Academic Affiliation	Physics
Rights Statement	In Copyright
Publisher	Oregon State University
Language	English [eng]
Replaces	http://hdl.handle.net/1957/61169

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