An almost sure energy inequality for Markov solutions to the 3D Navier-Stokes equations

2009/02/09 by Marco Romito, Romito, Marco · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · #35Q30 #60H30 #76M35 #FOS: Mathematics #Navier-Stokes equation solutions #Primary: 76D05 #Probability (math.PR) #Secondary: 60H15 #Stability and Controllability of Differential Equations #Stochastic processes and financial applications #math.PR #msc:35Q30 #msc:60H15 #msc:60H30 #msc:76D05 #msc:76M35

paper · pdf · doi:10.48550/arxiv.0902.1407

Submitted for the proceedings of the conference "Stochastic partial differential equations and applications VIII"

arxiv created 2009/02/09 · openalex publication_date 2009/02/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove existence of weak martingale solutions satisfying an almost sure version of the energy inequality and which constitute a (almost sure) Markov process.

Cited by

• Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise

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