A Blow-Up Criterion for the 3D Euler Equations Via the Euler-Voigt Inviscid Regularization (original) (raw)

Theoretical and Computational Fluid Dynamics, 2017

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

Communications in Partial Differential Equations, 2006

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

arXiv (Cornell University), 2013

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

Acta Numerica, 2009

Symmetry-plane model of 3D Euler flows and mapping to regular systems to improve blowup assessment using numerical and analytical solutions

Miguel Angel Morales Bustamante

Journal of Fluid Mechanics, 2015

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

Multiscale Modeling & Simulation

On The Higher-Order . . . Inviscid Voigt-regularization Of THREE-DIMENSIONAL HYDRODYNAMIC MODELS

2010

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

Journal of Nonlinear Science, 2006

On the higher-order global regularity of the inviscid Voigt-regularization of three-dimensional hydrodynamic models

Discrete and Continuous Dynamical Systems - Series B, 2010

Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation

Tam Phuc Đo

Journal of Nonlinear Science, 2016

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

J D Gibbon

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

2013

Blowing-up solutions of the axisymmetric Euler equations for an incompressible fluid

Martine Le Berre

arXiv: Fluid Dynamics, 2019

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

2014

Blow up of incompressible Euler solutions

Johan Hoffman

BIT Numerical Mathematics, 2008

On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations

Communications on Pure and Applied Mathematics

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

Miguel Angel Morales Bustamante

2011

Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains

Alex Mahalov

Methods and Applications of Analysis, 2004

Numerical Study of Nearly Singular Solutions of the 3-D Incompressible Euler Equations

Mathematics and Computation, a Contemporary View, 2008

Geometric Properties and Nonblowup of 3D Incompressible Euler Flow

Communications in Partial Differential Equations, 2005

Note on loss of regularity for solutions of the 3?D incompressible euler and related equations

Popescu Constantin

Communications in Mathematical Physics, 1986

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

Blowup vs Illposedness of Smooth Solutions of the Incompressible Euler/Navier-Stokes Equations

Johan Hoffman

2008

Collapsing solutions to the 3-D Euler equations

Alain Pumir

Physics of Fluids A: Fluid Dynamics, 1990

Singular solutions to the 3D axisymmetric incompressible Euler equations

Alain Pumir

Physica D: Nonlinear Phenomena, 1992

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

Foundations of Computational Mathematics

On the blow‐up criterion of 3D Navier‐Stokes equation in

Hajer Orf

Mathematical Methods in the Applied Sciences

Exact, rotational, infinite energy, blowup solutions to the 3-dimensional Euler equations

Manwai Yuen

Physics Letters A, 2011

Euler Equations Solutions for Incompressible Fluid Flow

A. Frempong

viXra, 2015

Exact, infinite energy, blow-up solutions of the three-dimensional Euler equations (Nonlinearity

J D Gibbon

Exact, infinite energy, blow-up solutions of the three-dimensional Euler equations

J D Gibbon

Nonlinearity, 2003

Explicit Solutions to the 3D Incompressible Euler Equations in Lagrangian Formulation

Jukka Tuomela

Journal of Mathematical Fluid Mechanics