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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 6
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Articles

Non-Newtonian fluids and stochastic analysis on the groups of diffeomorphisms

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Pages 1116-1127 | Received 30 Mar 2014, Accepted 21 Apr 2014, Published online: 02 Jun 2014

References

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  • Ebin DG, Marsden J. Groups of diffeomorphisms and the motion of an incompressible fluid. Ann. Math. 1970;92:102–163.
  • Gliklikh YuE. Solutions of burgers, reynolds and Navier-Stokes equations via stochastic perturbations of inviscid flows. J. Nonlinear Math. Phys. 2010;17:15–29.
  • Gliklikh YuE. Global and stochastic analysis with applications to mathematical physics. London: Springer-Verlag; 2011.
  • Nelson E. Derivation of the Schrodinger equation from Newtonian mechanics. Phys. Rev. 1966;150:1079–1085.
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  • Nelson E. Quantum fluctuations. New York (NY): Springer-Verlag; 1985.
  • Parthasarathy KR. Introduction to probability and measure. New York (NY): Springer-Verlag; 1978.

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