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

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.

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

References in corpus (1)

• On the martingale probem associated to the 2D and 3D Stochastic Navier-Stokes equations

Cited by in corpus (2)

• Uniqueness and blow-up for the noisy viscous dyadic model
• Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise