Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
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S. Albeverio
albeverio@uni-bonn.de
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Ya. Belopolskaya
yana@yb1569.spb.edu
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DOI:
https://doi.org/10.4067/S0719-06462010000200006Abstract
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem for the Navier-Stokes system.
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Published
2010-06-01
How to Cite
[1]
S. Albeverio and Y. Belopolskaya, “Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes”, CUBO, vol. 12, no. 2, pp. 77–96, Jun. 2010.
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