Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent
From MaRDI portal
Publication:2121080
DOI10.1016/j.spa.2022.01.016zbMath1490.35254arXiv2006.11861OpenAlexW3035890703MaRDI QIDQ2121080
Publication date: 1 April 2022
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.11861
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) PDEs with randomness, stochastic partial differential equations (35R60)
Related Items (7)
Non-uniqueness in law for the Boussinesq system forced by random noise ⋮ NonUniqueness in Law for Two-Dimensional Navier--Stokes Equations with Diffusion Weaker than a Full Laplacian ⋮ Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness ⋮ A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity ⋮ Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier-Stokes equations: existence and nonuniqueness ⋮ Nonuniqueness in law of stochastic 3D Navier-Stokes equations ⋮ Nonuniqueness in law for stochastic hypodissipative Navier-Stokes equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dissipative continuous Euler flows
- The generalized incompressible Navier-Stokes equations in Besov spaces
- On the global regularity of generalized Leray-alpha type models
- An inviscid flow with compact support in space-time
- The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion
- On admissibility criteria for weak solutions of the Euler equations
- Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
- Ergodicity for the 3D stochastic Navier-Stokes equations
- Global regularity for a logarithmically supercritical hyperdissipative Navier-Stokes equation
- The Euler equations as a differential inclusion
- Martingale solutions and Markov selections for stochastic partial differential equations
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- Energy dissipation without viscosity in ideal hydrodynamics. I: Fourier analysis and local energy transfer
- Convex integration for Lipschitz mappings and counterexamples to regularity
- A proof of Onsager's conjecture
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Martingale and stationary solutions for stochastic Navier-Stokes equations
- Stochastic 2D hydrodynamical type systems: well posedness and large deviations
- Non-uniqueness of weak solutions to hyperviscous Navier-Stokes equations: on sharpness of J.-L. Lions exponent
- Convex integration and phenomenologies in turbulence
- Markov selections for the magnetohydrodynamics and the Hall-magnetohydrodynamics systems
- Global regularity for a slightly supercritical hyperdissipative Navier-Stokes system
- Anomalous dissipation for \(1/5\)-Hölder Euler flows
- Markov selections for the 3D stochastic Navier-Stokes equations
- Equations stochastiques du type Navier-Stokes
- Multidimensional diffusion processes.
- \(C^1\) isometric imbeddings
- Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction
- An Introduction to 3D Stochastic Fluid Dynamics
- Lévy Processes and Stochastic Calculus
- Partial Differential Relations
- Gaussian Hilbert Spaces
- On the Uniqueness in Law and the Pathwise Uniqueness for Stochastic Differential Equations
- The ℎ-principle and the equations of fluid dynamics
- Stochastic Equations in Infinite Dimensions
- Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires
- ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER–STOKES α-MODEL WITH FINITE DELAY
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Remarks on the non-uniqueness in law of the Navier-Stokes equations up to the J.-L. Lions' exponent
