Global well-posedness of the 3D Navier-Stokes equations perturbed by a deterministic vector field

DOI10.1214/21-AAP1740zbMath1498.35387arXiv2004.07528OpenAlexW3017338387WikidataQ114060512 ScholiaQ114060512MaRDI QIDQ2083258

De Jun Luo, Torstein Nilssen, Martina Hofmanová, Franco Flandoli

Publication date: 10 October 2022

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07528

zbMATH Keywords

well-posedness3D Navier-Stokes equationsregularization by noisevorticity formWong-Zakai principle

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Brownian motion (60J65) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Stochastic integral equations (60H20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Regularization by noise (60H50)

Related Items (4)

Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness ⋮ On the 3D Navier-Stokes equations with a linear multiplicative noise and prescribed energy ⋮ Regularization by transport noises for 3D MHD equations ⋮ Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise

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