A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

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

Self-truncation and scaling in Euler-Voigt-αand related fluid models

(2015) Giuseppe Di Molfetta et al.   PHYSICAL REVIEW E

On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler Equations

(2014) Thomas Y. Hou et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

A Unified Approach to Regularity Problems for the 3D Navier-Stokes and Euler Equations: the Use of Kolmogorov’s Dissipation Range

(2014) A. Cheskidov et al.   Journal of Mathematical Fluid Mechanics

Dissipative Euler flows and Onsager's conjecture

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

Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation

(2014) Guo Luo et al.   MULTISCALE MODELING & SIMULATION

On the statistical properties of the 3D incompressible Navier-Stokes-Voigt model

(2013) Boris Levant et al.   Communications in Mathematical Sciences

On relaxation times in the Navier-Stokes-Voigt model

(2013) William J. Layton et al.   INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS

The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up?

(2013) John D. Gibbon et al.   JOURNAL OF NONLINEAR SCIENCE

Finite-time Euler singularities: A Lagrangian perspective

(2012) Tobias Grafke et al.   APPLIED MATHEMATICS LETTERS

Numerical approximation of the Voigt regularization for incompressible Navier–Stokes and magnetohydrodynamic flows

(2012) Paul Kuberry et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The Navier-Stokes-Voight model for image inpainting

(2012) M. A. Ebrahimi et al.   IMA JOURNAL OF APPLIED MATHEMATICS

Dissipative continuous Euler flows

(2012) Camillo De Lellis et al.   INVENTIONES MATHEMATICAE

Interplay between the Beale-Kato-Majda theorem and the analyticity-strip method to investigate numerically the incompressible Euler singularity problem

(2012) Miguel D. Bustamante et al.   PHYSICAL REVIEW E

3D Euler equations and ideal MHD mapped to regular systems: Probing the finite-time blowup hypothesis

(2011) Miguel D. Bustamante   PHYSICA D-NONLINEAR PHENOMENA

Invariant measures for the $3$D Navier-Stokes-Voigt equations and their Navier-Stokes limit

(2010) Fabio Ramos et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The dynamics of unforced turbulence at high Reynolds number for Taylor–Green vortices generalized to MHD

(2010) A. Pouquet et al.   GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS

Loss of smoothness and energy conserving rough weak solutions for the $3d$ Euler equations

(2010) E. Titi et al.   Discrete and Continuous Dynamical Systems-Series S

Global attractors and determining modes for the 3D Navier-Stokes-Voight equations

(2009) Varga K. Kalantarov et al.   CHINESE ANNALS OF MATHEMATICS SERIES B

Calculation of complex singular solutions to the 3D incompressible Euler equations

(2009) M. Siegel et al.   PHYSICA D-NONLINEAR PHENOMENA

Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations

(2009) Thomas Y. Hou   ACTA NUMERICA

On Admissibility Criteria for Weak Solutions of the Euler Equations

(2008) Camillo de Lellis et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

Gevrey Regularity for the Attractor of the 3D Navier–Stokes–Voight Equations

(2008) Varga K. Kalantarov et al.   JOURNAL OF NONLINEAR SCIENCE

Energy conservation and Onsager's conjecture for the Euler equations

(2008) A Cheskidov et al.   NONLINEARITY

Blowup or no blowup? The interplay between theory and numerics

(2008) Thomas Y. Hou et al.   PHYSICA D-NONLINEAR PHENOMENA

An inviscid regularization for the surface quasi‐geostrophic equation

(2007) Boualem Khouider et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods

(2007) Tobias Grafke et al.   PHYSICA D-NONLINEAR PHENOMENA

The three-dimensional Euler equations: Where do we stand?

(2007) J.D. Gibbon   PHYSICA D-NONLINEAR PHENOMENA