Undergraduate Thesis Or Project

 

Spatial and Temporal Damping of Fluid Perturbation at a Distance Public Deposited

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

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  • 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.
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  • description.provenance : Submitted by Andy Baldwin (baldwinj@oregonstate.edu) on 2017-06-07T20:09:57ZNo. of bitstreams: 2license_rdf: 1089 bytes, checksum: 0a703d871bf062c5fdc7850b1496693b (MD5)BaldwinJohnA2017.pdf: 333465 bytes, checksum: 51a73bdb21d8bdc997b47e6ce1bcc510 (MD5)
  • description.provenance : Approved for entry into archive by Steven Van Tuyl(steve.vantuyl@oregonstate.edu) on 2017-06-07T21:26:30Z (GMT) No. of bitstreams: 2license_rdf: 1089 bytes, checksum: 0a703d871bf062c5fdc7850b1496693b (MD5)BaldwinJohnA2017.pdf: 333465 bytes, checksum: 51a73bdb21d8bdc997b47e6ce1bcc510 (MD5)
  • description.provenance : Made available in DSpace on 2017-06-07T21:26:30Z (GMT). No. of bitstreams: 2license_rdf: 1089 bytes, checksum: 0a703d871bf062c5fdc7850b1496693b (MD5)BaldwinJohnA2017.pdf: 333465 bytes, checksum: 51a73bdb21d8bdc997b47e6ce1bcc510 (MD5)

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