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Three‐dimensional stochastic vortex flows
Author(s) -
Esposito R.,
Pulvirenti M.,
Neunzert H.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110402
Subject(s) - mathematics , vortex , euler's formula , flow (mathematics) , stochastic process , viscosity , mathematical analysis , statistical physics , geometry , mechanics , physics , statistics , quantum mechanics
We discuss the stochastic structure of the Navier–Stokes flow in ℝ 3 and prove that it can be approximated by means of a finite‐dimensional stochastic process. Such a process reduces to an algorithm already discussed in Reference 4 for the Euler case, when the viscosity coefficient vanishes.