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

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

Thomas Hou

Communications in Partial Differential Equations, 2006

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

Thomas Hou

2014

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

Thomas Hou

arXiv (Cornell University), 2013

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

Thomas Hou

Multiscale Modeling & Simulation

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

Thomas Hou

Communications on Pure and Applied Mathematics

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

Thomas Hou

Acta Numerica, 2009

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

Thomas Hou

Journal of Nonlinear Science, 2006

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

J D Gibbon

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

J D Gibbon

Nonlinearity, 2003

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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

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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

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Singular solutions to the 3D axisymmetric incompressible Euler equations

Alain Pumir

Physica D: Nonlinear Phenomena, 1992

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

Tam Phuc Đo

Journal of Nonlinear Science, 2016

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

Miguel Angel Morales Bustamante

2011

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

Manwai Yuen

Physics Letters A, 2011

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

Alain Pumir

Physical Review Letters, 1992

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

Edriss Titi

arXiv: Analysis of PDEs, 2015

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

J D Gibbon

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

Martine Le Berre

arXiv: Fluid Dynamics, 2019

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Ju l 2 01 5 A Blow-Up Criterion for the 3 D Euler Equations Via the Euler-Voigt Inviscid Regularization

Edriss Titi

2015

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Potentially singular solutions of the 3D axisymmetric Euler equations

Thomas Hou

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

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Collapsing solutions to the 3-D Euler equations

Alain Pumir

Physics of Fluids A: Fluid Dynamics, 1990

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

Edriss Titi

2013

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Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with C^{1,\alpha }$$ Velocity and Boundary

Thomas Hou

Communications in Mathematical Physics

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Finite time blowup of 2D Boussinesq and 3D Euler equations with C^1,α velocity and boundary

Thomas Hou

2019

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Geometric Properties and Nonblowup of 3D Incompressible Euler Flow

Thomas Hou

Communications in Partial Differential Equations, 2005

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Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations

Thomas Hou

2021

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Stretching & compression of vorticity in the 3D Euler equations

J D Gibbon

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

Thomas Hou

Foundations of Computational Mathematics

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Exploring symmetry plane conditions in numerical Euler solutions

Robert Kerr

Mathematical Aspects of Fluid Mechanics, 2009

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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

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Blow up of incompressible Euler solutions

Johan Hoffman

BIT Numerical Mathematics, 2008

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