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Existence, uniqueness and regularity of a time-periodic probability density distribution arising in a sedimentation-diffusion problemThe sedimentation and diffusion of a nonneutrally buoyant Brownian particle in vertical fluid-filled cylinder of finite length which is instantaneously inverted at regular intervals are investigated analytically. A one-dimensional convective-diffusive equation is derived to describe the temporal and spatial evolution of the probability density; a periodicity condition is formulated; the applicability of Fredholm theory is established; and the parameter-space regions are determined within which the existence and uniqueness of solutions are guaranteed. Numerical results for sample problems are presented graphically and briefly characterized.
Document ID
19880038580
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Nitsche, Ludwig C.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Nitsche, Johannes M.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Brenner, Howard
(MIT Cambridge, MA, United States)
Date Acquired
August 13, 2013
Publication Date
January 1, 1988
Publication Information
Publication: SIAM Journal on Mathematical Analysis
Volume: 19
ISSN: 0036-1410
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
88A25807
Funding Number(s)
CONTRACT_GRANT: NSG-7645
Distribution Limits
Public
Copyright
Other

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