STATISTICAL SOLUTIONS OF NAVIER-STOKES EQUATIONS BY NONSTANDARD DENSITIES-Reference-Cited by-同舟云学术

STATISTICAL SOLUTIONS OF NAVIER-STOKES EQUATIONS BY NONSTANDARD DENSITIES

Published:1991-12 Issue:04 Volume:01 Page:447-460
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CAPIŃSKI MAREK¹,CUTLAND NIGEL¹

Affiliation:

1. Department of Pure Mathematics, University of Hull, Hull, UK

Abstract

We present a method of constructing nonstandard densities of measures living on infinite-dimensional spaces. This gives the existence of statistical solutions of Navier-Stokes equations as standard measures corresponding to the solution of a first order PDE for the nonstandard densities. For linear equations the method gives a simple proof of uniqueness of statistical solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202591000228

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1. Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions;Journal of Physics A: Mathematical and General;1996-09-07

2. Foias statistical solution for stochastic Navier — Stokes equation;Nonlinear Analysis: Theory, Methods & Applications;1996-07

3. Navier-Stokes Equations;Advances in Analysis, Probability and Mathematical Physics;1995

4. STATISTICAL SOLUTIONS OF STOCHASTIC NAVIER-STOKES EQUATIONS;Indiana University Mathematics Journal;1994

5. Stochastic Navier-Stokes equations;Acta Applicandae Mathematicae;1991-10