On existence and uniqueness of weak solutions to the Navier-Stokes equations in R3

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/02871034x

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Attribute Name	Values
Creator	Peterson, Samuel H.
Abstract	This thesis is on the existence and uniqueness of weak solutions to the Navier-Stokes equations in R3 which govern the velocity of incompressible fluid with viscosity ν. The solution is obtained in the space of tempered distributions on R3 given an initial condition and forcing data which are dominated by majorizing kernels. The solution takes the form of an expectation of functionals on a Markov process indexed by a binary branching tree.
Resource Type	Masters Thesis
Date Available	2012-06-22T21:41:54+00:00
Date Issued	2012-06-08
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2012
Advisor	Ossiander, Mina E.
Committee Member	Dascaliuc, Radu Showalter, Ralph E. Liburdy, James
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Cascades (Fluid dynamics) Markov processes Navier-Stokes equations -- Numerical solutions
权利声明	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/30108

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