Abstract
We construct stochastic partial differential equations for the vorticity distribution of a two-dimensional simple fluid. The drift part of these equations is approximately given by the Navier-Stokes Equation and the diffusion part depends on the correlation assumptions for the positions of the centers of the vortices.
This research was supported by a grant from ONR. “The physical part, i.e., Remark 1.1, has been written by J. Adin Mann, Jr. alone; the mathematical part, i.e., the rest of the paper without Remark 1.1 has been written by Peter Kotelenez alone.”
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© 1992 International Federation for Information Processing
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Kotelenez, P., Mann, J.A. (1992). Random vortex models and stochastic partial differential equations. In: Rozovskii, B.L., Sowers, R.B. (eds) Stochastic Partial Differential Equations and Their Applications. Lecture Notes in Control and Information Sciences, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0007329
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DOI: https://doi.org/10.1007/BFb0007329
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Publisher Name: Springer, Berlin, Heidelberg
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