Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise

Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier–Stokes equations: Existence and nonuniqueness

(2023) Martina Hofmanová et al.   ANNALS OF PROBABILITY

Regularization by Noise of an Averaged Version of the Navier–Stokes Equations

(2023) Theresa Lange   Journal of Dynamics and Differential Equations

Nonuniqueness in law of stochastic 3D Navier–Stokes equations

(2023) Martina Hofmanová et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Non-uniqueness in law of three-dimensional Navier–Stokes equations diffused via a fractional Laplacian with power less than one half

(2023) Kazuo Yamazaki   Stochastics and Partial Differential Equations-Analysis and Computations

Global-in-time probabilistically strong solutions to stochastic power-law equations: Existence and non-uniqueness

(2023) Huaxiang Lü et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Burst of Point Vortices and Non-uniqueness of 2D Euler Equations

(2022) Francesco Grotto et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

From additive to transport noise in 2D fluid dynamics

(2022) Franco Flandoli et al.   Stochastics and Partial Differential Equations-Analysis and Computations

Regularization by transport noises for 3D MHD equations

(2022) Dejun Luo   Science China-Mathematics

Delayed blow-up by transport noise

(2021) Franco Flandoli et al.   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

2D Euler Equations with Stratonovich Transport Noise as a Large-Scale Stochastic Model Reduction

(2021) Franco Flandoli et al.   JOURNAL OF NONLINEAR SCIENCE

High mode transport noise improves vorticity blow-up control in 3D Navier–Stokes equations

(2021) Franco Flandoli et al.   PROBABILITY THEORY AND RELATED FIELDS

On Ill‐ and Well‐Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations

(2021) Martina Hofmanová et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Circulation and Energy Theorem Preserving Stochastic Fluids

(2019) Theodore D. Drivas et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Onsager's Conjecture for Admissible Weak Solutions

(2018) Tristan Buckmaster et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Solution Properties of a 3D Stochastic Euler Fluid Equation

(2018) Dan Crisan et al.   JOURNAL OF NONLINEAR SCIENCE

Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics

(2017) C. J. Cotter et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Degenerate parabolic stochastic partial differential equations: Quasilinear case

(2016) Arnaud Debussche et al.   ANNALS OF PROBABILITY

Existence and Uniqueness for Stochastic 2D Euler Flows with Bounded Vorticity

(2016) Zdzisław Brzeźniak et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Anomalous dissipation for 1/5-Hölder Euler flows

(2015) Tristan Buckmaster et al.   ANNALS OF MATHEMATICS

Onsager’s Conjecture Almost Everywhere in Time

(2015) Tristan Buckmaster   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Dissipative Euler Flows with Onsager-Critical Spatial Regularity

(2015) Tristan Buckmaster et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Variational principles for stochastic fluid dynamics

(2015) D. D. Holm   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Local and global existence of smooth solutions for the stochastic Euler equations with multiplicative noise

(2014) Nathan E. Glatt-Holtz et al.   ANNALS OF PROBABILITY

Dissipative Euler flows and Onsager's conjecture

(2014) Camillo De Lellis et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Robust filtering: Correlated noise and multidimensional observation

(2013) D. Crisan et al.   ANNALS OF APPLIED PROBABILITY

Noise Prevents Collapse of Vlasov-Poisson Point Charges

(2013) François Delarue et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Dissipative continuous Euler flows

(2012) Camillo De Lellis et al.   INVENTIONES MATHEMATICAE

Existence of weak solutions for the incompressible Euler equations

(2011) Emil Wiedemann   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations

(2011) F. Flandoli et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

The Euler equations as a differential inclusion

(2010) Camillo De Lellis et al.   ANNALS OF MATHEMATICS

Well-posedness of the transport equation by stochastic perturbation

(2009) F. Flandoli et al.   INVENTIONES MATHEMATICAE

Existence of a local smooth solution in probability to the stochastic Euler equations in R3

(2009) Jong Uhn Kim   JOURNAL OF FUNCTIONAL ANALYSIS