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A note on the motion of an Ocean Bacterium in a Linear Shear Flow
Author(s) -
Jansons Kalvis M.
Publication year - 2007
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300000267
Subject(s) - mathematics , shear flow , flow (mathematics) , motion (physics) , shear (geology) , linear motion , simple (philosophy) , simple shear , mechanics , classical mechanics , geology , geometry , physics , paleontology , philosophy , epistemology
This paper treats a simple model, which can be exactly solved, motivated by the back‐and‐forth motion of ocean bacteria. In particular, the probability is determined that a bacterium moving randomly along a fluid line through the origin in a linear shear flow hits the origin before time t.