Blow up of incompressible Euler solutions (original) (raw)

Euler equations for incompressible ideal fluids

Edriss Titi

Russian Mathematical Surveys, 2007

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

Martine Le Berre

arXiv: Fluid Dynamics, 2019

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

Thomas Hou

Communications in Partial Differential Equations, 2006

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

Johan Hoffman

2008

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Blow-up phenomena for compressible Euler equations with non-vacuum initial data

Manwai Yuen

Zeitschrift für angewandte Mathematik und Physik, 2015

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The Ever-Elusive Blowup in the Mathematical Description of Fluids

Robert Kerr

An Invitation to Mathematics, 2011

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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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Perturbational blowup solutions to the compressible 1-dimensional Euler equations

Manwai Yuen

Physics Letters A, 2011

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

Edriss Titi

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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Perturbational Blowup Solutions to the 1-dimensional Compressible Euler Equations

Manwai Yuen

2010

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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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Blowup or no blowup? The interplay between theory and numerics

Thomas Hou

Physica D: Nonlinear Phenomena, 2008

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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

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

Thomas Hou

Mathematics and Computation, a Contemporary View, 2008

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Dissipation in turbulent solutions of 2D Euler equations

Gregory Eyink

Nonlinearity, 2001

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Euler Equations Solutions for Incompressible Fluid Flow

A. Frempong

viXra, 2015

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An Onsager Singularity Theorem for Turbulent Solutions of Compressible Euler Equations

Gregory Eyink

Communications in Mathematical Physics, 2017

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A Study of Solutions to Euler Equations for a One Dimensional Unsteady Flow

nicholas mutua

RESEARCH PAPER, 2013

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Homogenization of Incompressible Euler Equations ∗1)

Thomas Hou

2006

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Small scale creation for solutions of the incompressible two-dimensional Euler equation

Vladimir Sverak, Alexander Kiselev

Annals of Mathematics, 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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Two-scale numerical simulation of the weakly compressible 1D isentropic Euler equations

Eric Sonnendrucker, Emmanuel Frénod

Numerische Mathematik, 2007

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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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Singularity Formation for the Compressible Euler Equations

Shengguo Zhu

SIAM Journal on Mathematical Analysis

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Some Exact Blowup Solutions to the Pressureless Euler Equations in R^N

Manwai Yuen

2009

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Development of high vorticity structures in incompressible 3D Euler equations

Dmitry Agafontsev

Physics of Fluids, 2015

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