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Mathematics and Computation, a Contemporary View, 2008

Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations

Journal of Nonlinear Science, 2006

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

Multiscale Modeling & Simulation

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Physica D: Nonlinear Phenomena, 1989

Stretching & compression of vorticity in the 3D Euler equations

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

Acta Numerica, 2009

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

Edriss Titi

Theoretical and Computational Fluid Dynamics, 2017

Numerical study of singularity formation in a class of Euler and Navier-Stokes flows

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Dmitry Agafontsev

Physics of Fluids, 2015

Potentially singular solutions of the 3D axisymmetric Euler equations

Proceedings of the National Academy of Sciences of the United States of America, 2014

Finite-time singularities in the axisymmetric three-dimension Euler equations

Physical Review Letters, 1992

Singular solutions to the 3D axisymmetric incompressible Euler equations

Physica D: Nonlinear Phenomena, 1992

The 3D incompressible Euler equations with a passive scalar : a road to blow-up?

Title The 3 D incompressible euler equations with a passive scalar : A road to blow-up ?

Edriss Titi

2013

Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study

SIAM Review

Potential Singularity of the 3D Euler Equations in the Interior Domain

Foundations of Computational Mathematics

Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation

Communications in Partial Differential Equations, 2006

An unfinished tale of nonlinear PDEs: Do solutions of 3D incompressible Euler equations blow-up in finite time?

Denisse Sciamarella

Physica D: Nonlinear Phenomena, 2005

The three-dimensional Euler equations: singular or non-singular?

Robert Kerr

Nonlinearity, 2008

Comparison of Adaptive Multiresolution and Adaptive Mesh Refinement Applied to Simulations of the Compressible Euler Equations

Margarete Domingues

SIAM Journal on Scientific Computing, 2016

OPEN PROBLEM The three-dimensional Euler equations: singular or non-singular

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Physical Review Fluids, 2016

Development of singular solutions to the axisymmetric Euler equations

Physics of Fluids A: Fluid Dynamics, 1992

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Robert Kerr

2006

On the Finite-Time Blowup of a 1D Model for the 3D Incompressible Euler Equations

arXiv (Cornell University), 2013

Stretching & folding diagnostics in solutions of the three-dimensional Euler & Navier-Stokes equations

Stretching and folding diagnostics in solutions three-dimensional Euler and Navier–Stokes equations

Mathematical Aspects of Fluid Mechanics, 2009

Stretching & folding diagnostics in solutions of the three-dimensional Euler & Navier-Stokes equations

2010

A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization

Edriss Titi

arXiv: Analysis of PDEs, 2015

An Efficient Dynamically Adaptive Mesh for Potentially Singular Solutions

Journal of Computational Physics, 2001