John Gibbon

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the removal of the barotropic condition in helicity studies of the compressible Euler and ideal compressible MHD equations	2025	Daniel W. Boutros John Gibbon
+ PDF Chat	Dynamics of vorticity moments in shell models of turbulence: A comparison with the Navier-Stokes equations	2024	John Gibbon Dario Vincenzi
+ PDF Chat	Phase transitions in the fractional three-dimensional Navier–Stokes equations	2024	Daniel W. Boutros John Gibbon
+ PDF Chat	Identifying the multifractal set on which energy dissipates in a turbulent Navier–Stokes fluid	2023	John Gibbon
+	Phase transitions in the fractional three-dimensional Navier-Stokes equations	2023	Daniel W. Boutros John Gibbon
+ PDF Chat	An analytical and computational study of the incompressible Toner–Tu Equations	2022	John Gibbon Kolluru Venkata Kiran Nadia Bihari Padhan Rahul Pandit
+ PDF Chat	How to Extract a Spectrum from Hydrodynamic Equations	2022	John Gibbon Dario Vincenzi
+ PDF Chat	A correspondence between the multifractal model of turbulence and the Navier–Stokes equations	2022	B. Dubrulle John Gibbon
+	Identifying the multifractal set on which energy dissipates in a turbulent Navier-Stokes fluid	2022	John Gibbon
+ PDF Chat	Variable density model for the Rayleigh-Taylor instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations	2021	John Gibbon
+	The Variable Density Model for the Rayleigh-Taylor Instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations	2021	John Gibbon
+ PDF Chat	How close are shell models to the 3D Navier–Stokes equations?	2021	Dario Vincenzi John Gibbon
+	The Variable Density Model for the Rayleigh-Taylor Instability and its transformation to the diffusive, inhomogeneous, incompressible Navier-Stokes equations	2021	John Gibbon
+ PDF Chat	Intermittency, cascades and thin sets in three-dimensional Navier-Stokes turbulence	2020	John Gibbon
+	The Pharmacopoeia Mathematica	2018	John Gibbon
+ PDF Chat	Weak and Strong Solutions of the 3D Navier–Stokes Equations and Their Relation to a Chessboard of Convergent Inverse Length Scales	2018	John Gibbon
+ PDF Chat	The role of BKM-type theorems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml93" display="inline" overflow="scroll" altimg="si25.gif"><mml:mn>3</mml:mn><mml:mi>D</mml:mi></mml:math> Euler, Navier–Stokes and Cahn–Hilliard–Navier–Stokes analysis	2017	John Gibbon Anupam Gupta Nairita Pal Rahul Pandit
+ PDF Chat	Martin David Kruskal. 28 September 1925—26 December 2006	2017	John Gibbon S. C. Cowley Nalini Joshi M. A. H. MacCallum
+ PDF Chat	Integrability of the hyperbolic reduced Maxwell-Bloch equations for strongly correlated Bose-Einstein condensates	2017	Alexis Arnaudon John Gibbon
+ PDF Chat	Lyapunov dimension of elastic turbulence	2017	Emmanuel L. C. VI M. Plan Anupam Gupta Dario Vincenzi John Gibbon
+ PDF Chat	Bounds on solutions of the rotating, stratified, incompressible, non-hydrostatic, three-dimensional Boussinesq equations	2017	John Gibbon Darryl D. Holm
+	Martin David Kruskal: a biographical memoir	2017	John Gibbon M. A. H. MacCallum Sheila Cowley Nalini Joshi
+	Lyapunov dimension of elastic turbulence	2017	Emmanuel Lance Christopher VI Medillo Plan Anupam Gupta Dario Vincenzi John Gibbon
+ PDF Chat	Regularity criterion for solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations and associated computations	2016	John Gibbon Nairita Pal Anupam Gupta Rahul Pandit
+ PDF Chat	Nonlinear effects in buoyancy-driven variable-density turbulence	2016	P. Rao C. P. Caulfield John Gibbon
+	A BKM-type theorem and associated computations of solutions of the three-dimensional Cahn-Hilliard-Navier-Stokes equations	2016	John Gibbon Nairita Pal Anupam Gupta Rahul Pandit
+ PDF Chat	Depletion of nonlinearity in magnetohydrodynamic turbulence: Insights from analysis and simulations	2016	John Gibbon Anupam Gupta Giorgio Krstulovic Rahul Pandit H. Politano Yannick Ponty A. Pouquet Ganapati Sahoo J. E. Stawarz
+	Recent Progress in the Theory of the Euler and Navier–Stokes Equations	2016	James C. Robinson James C. Robinson James C. Robinson H. Beirão da Veiga Zachary Bradshaw Giovanni P. Galdi John Gibbon W. Hu Adam Larios Pierre Gilles Lemarié–Rieusset
+ PDF Chat	High–low frequency slaving and regularity issues in the 3D Navier–Stokes equations	2015	John Gibbon
+	High-low frequency slaving and regularity issues in the 3D Navier-Stokes equations	2015	John Gibbon
+ PDF Chat	Regimes of nonlinear depletion and regularity in the 3D Navier-Stokes equations	2014	John Gibbon Diego A. Donzis Anupam Gupta Robert M. Kerr Rahul Pandit Dario Vincenzi
+	Regimes of nonlinear depletion and regularity in the 3D Navier–Stokes equations	2014	John Gibbon Diego A. Donzis Anupam Gupta Robert M. Kerr Rahul Pandit Dario Vincenzi
+ PDF Chat	Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations	2013	Diego A. Donzis John Gibbon Anupam Gupta Robert M. Kerr Rahul Pandit Dario Vincenzi
+ PDF Chat	The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up?	2013	John Gibbon Edriss S. Titi
+ PDF Chat	Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations	2013	John Gibbon Darryl D. Holm
+	Stretching and folding processes in the 3D Euler and Navier-Stokes equations	2013	John Gibbon Darryl D. Holm
+	Stretching and Folding Processes in the 3D Euler and Navier-Stokes Equations	2013	John Gibbon Darryl D. Holm
+	Dynamics of Scaled Norms of Vorticity for the Three-dimensional Navier-Stokes and Euler Equations	2013	John Gibbon
+ PDF Chat	Quasiconservation laws for compressible three-dimensional Navier-Stokes flow	2012	John Gibbon Darryl D. Holm
+ PDF Chat	Stretching and folding diagnostics in solutions three-dimensional Euler and Navier–Stokes equations	2012	John Gibbon Darryl D. Holm
+ PDF Chat	Conditional regularity of solutions of the three-dimensional Navier-Stokes equations and implications for intermittency	2012	John Gibbon
+	Dynamics of scaled norms of vorticity for the three-dimensional Navier-Stokes and Euler equations	2012	John Gibbon
+ PDF Chat	A hierarchy of length scales for weak solutions of the three-dimensional Navier-Stokes equations	2012	John Gibbon
+ PDF Chat	Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality	2011	Michele V. Bartuccelli John Gibbon
+	The range of scales in the hydrostatic primitive equations	2011	John Gibbon Darryl D. Holm
+	Extreme events in solutions of hydrostatic and non-hydrostatic climate models	2011	John Gibbon Darryl D. Holm
+	Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations	2011	John Gibbon Darryl D. Holm
+ PDF Chat	The gradient of potential vorticity, quaternions and an orthonormal frame for fluid particles	2010	John Gibbon Darryl D. Holm
+ PDF Chat	The dynamics of the gradient of potential vorticity	2010	John Gibbon Darryl D. Holm
+ PDF Chat	Regularity and singularity in solutions of the three-dimensional Navier–Stokes equations	2010	John Gibbon
+	A new diagnostic for the relative accuracy of Euler codes	2010	Charles R. Doering John Gibbon Darryl D. Holm
+	A hierarchy of length scales for weak solutions of the three-dimensional Navier-Stokes equations	2010	John Gibbon
+	Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations	2010	John Gibbon Darryl D. Holm
+	Stretching & folding diagnostics in solutions of the three-dimensional Euler & Navier-Stokes equations	2010	John Gibbon Darryl D. Holm
+ PDF Chat	Kahler geometry and Burgers' vortices	2009	Ian Roulstone Bertrand Banos John Gibbon Vladimir Roubtsov
+ PDF Chat	Estimating intermittency in three-dimensional Navier–Stokes turbulence	2009	John Gibbon
+	Extreme events in solutions of hydrostatic and non-hydrostatic climate models	2009	John Gibbon Darryl D. Holm
+	The dynamics of the gradient of potential vorticity	2009	John Gibbon Darryl D. Holm
+	Categorical Scaling of Duration Bisection in Pigeons (<i>Columba livia</i>), Mice (<i>Mus musculus</i>), and Humans (<i>Homo sapiens</i>)	2008	Trevor B. Penney John Gibbon Warren H. Meck
+	Quaternions and ideal flows	2008	Homayoon Eshraghi John Gibbon
+ PDF Chat	The three-dimensional Euler equations: singular or non-singular?	2008	John Gibbon Miguel D. Bustamante Robert M. Kerr
+	The three-dimensional Euler equations: Where do we stand?	2007	John Gibbon
+ PDF Chat	Lagrangian analysis of alignment dynamics for isentropic compressible magnetohydrodynamics	2007	John Gibbon Darryl D. Holm
+ PDF Chat	Orthonormal quaternion frames, Lagrangian evolution equations, and the three-dimensional Euler equations	2007	John Gibbon
+ PDF Chat	Lagrangian particle paths and ortho-normal quaternion frames	2007	John Gibbon Darryl D. Holm
+ PDF Chat	Estimates for the two-dimensional Navier–Stokes equations in terms of the Reynolds number	2007	John Gibbon Grigorios A. Pavliotis
+	Review: A Challenge to the Standard Interpretations of Conditioning and Choice	2007	C. R. Gallistel John Gibbon Russell M. Church
+ PDF Chat	Кватернионный репер, эволюционные уравнения Лагранжа и трехмерные уравнения Эйлера	2007	Джон Гиббон John Gibbon
+ PDF Chat	Length-scale estimates for the LANS- equations in terms of the Reynolds number	2006	John Gibbon Darryl D. Holm
+ PDF Chat	Quaternions and particle dynamics in the Euler fluid equations	2006	John Gibbon Darryl D. Holm Robert M. Kerr Ian Roulstone
+	Time Perception and Timing, Neural Basis of	2005	John Gibbon Chariklia Malapani
+ PDF Chat	Cluster formation in complex multi-scale systems	2005	John Gibbon Edriss S. Titi
+ PDF Chat	Intermittency and Regularity Issues in 3D Navier-Stokes Turbulence	2005	John Gibbon Charles R. Doering
+	K"ahler Geometry and the Navier-Stokes Equations	2005	Ian Roulstone Bertrand Banos John Gibbon Vladimir Roubtsov
+ PDF Chat	A bound on mixing efficiency for the advection–diffusion equation	2004	Jean‐Luc Thiffeault Charles R. Doering John Gibbon
+	A Bound on Mixing Efficiency for the Advection-Diffusion Equation	2003	Jean‐Luc Thiffeault Charles R. Doering John Gibbon
+	Exact, infinite energy, blow-up solutions of the three-dimensional Euler equations	2003	John Gibbon David Moore J. T. Stuart
+	Intermittency in solutions of the three-dimensional Navier–Stokes equations	2003	John Gibbon Charles R. Doering
+ PDF Chat	A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations	2002	John Gibbon
+	Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier–Stokes equations	2002	Charles R. Doering John Gibbon
+	Evidence for singularity formation in a class of stretched solutions of the equations for ideal MHD	2002	John Gibbon Koji Ohkitani
+ PDF Chat	Singularity formation in a class of stretched solutions of the equations for ideal magneto-hydrodynamics	2001	John Gibbon Koji Ohkitani
+	Numerical Subtraction in the Pigeon: Evidence for a Linear Subjective Number Scale	2001	Elizabeth M. Brannon Courtney J. Wusthoff C. R. Gallistel John Gibbon
+ PDF Chat	Numerical study of singularity formation in a class of Euler and Navier–Stokes flows	2000	Koji Ohkitani John Gibbon
+ PDF Chat	Dynamically stretched vortices as solutions of the 3D Navier–Stokes equations	1999	John Gibbon A. S. Fokas Charles R. Doering
+	Vorticity alignment results for the 3D Euler and Navier-Stokes equations	1999	John Gibbon
+	Coupled Temporal Memories in Parkinson's Disease: A Dopamine-Related Dysfunction	1998	Chara Malapani Brian C. Rakitin Ron Levy Warren H. Meck Bernard Deweer Bruno Dubois John Gibbon
+ PDF Chat	Vorticity alignment results for the three-dimensional Euler and Navier - Stokes equations	1997	Barak Galanti John Gibbon M. Heritage
+	Angular dependence and growth of vorticity in the three-dimensional Euler equations	1997	John Gibbon M. Heritage
+	A logarithmic 3<i>d</i> Euler inequality	1997	John Gibbon John Gibbons M. Heritage
+	Chapter 8 Cooperation, conflict and compromise between circadian and interval clocks in pigeons	1997	John Gibbon S. Fairhurst Beverly Goldberg
+	Attractor dimension and small length scale estimates for the three-dimensional Navier - Stokes equations	1997	John Gibbon Edriss S. Titi
+	A voyage around the Navier-Stokes equations	1996	John Gibbon
+	<b>Exponential Attractors for Dissipative Evolution Equations</b>. By A. E<scp>DEN</scp>, C. F<scp>OIAS</scp>, B. N<scp>ICOLAENKO</scp>and R. T<scp>EMAM</scp>. Wiley, 1994. 182 pp. £24.95.<b>Nonstandard Methods for Stochastic Fluid Mechanics</b>. By M. C<scp>APIŃSKI</scp>and N. J. C<scp>UTLAND</scp>. World Scientific, 1995. 227 pp. £42.	1996	John Gibbon
+	Length scales in solutions of the complex Ginzburg-Landau equation	1996	Michele V. Bartuccelli John Gibbon Marcel Oliver
+	Timing processes in the reinforcement-omission effect	1995	Robert C. Mellon Theresa M. Leak S. Fairhurst John Gibbon
+	A conjecture regarding local behaviour of vorticity in the 3d incompressible Navier-Stokes equations	1995	John Gibbon
+	Introduction to Multidimensional Integrable Equations (B. G. Konopelchenko)	1995	John Gibbon
+	Ladder results for the Navier-Stokes equations	1995	Charles R. Doering John Gibbon
+	Exponential decay of the Fourier power spectrum	1995	Charles R. Doering John Gibbon
+	Regularity and length scales for the 2<i>d</i> and 3<i>d</i> Navier-Stokes equations	1995	Charles R. Doering John Gibbon
+	Length scales and ladder theorems for 2d and 3d convection	1995	John Gibbon
+	Value of food aggregates: parallel versus serial discounting	1995	Dani Brunner John Gibbon
+ PDF Chat	RATIO VERSUS DIFFERENCE COMPARATORS IN CHOICE	1994	John Gibbon S. Fairhurst
+	Weak and strong solutions of the complex Ginzburg-Landau equation	1994	Charles R. Doering John Gibbon C. David Levermore
+	Derivation of 3d Navier-Stokes length scales from a result of Foias, Guillope and Temam	1994	John Gibbon
+ PDF Chat	Temporal comparator rules and responding in multiple schedules	1993	Lynn Aronson Peter D. Balsam John Gibbon
+ PDF Chat	Length scales in solutions of the Navier-Stokes equations	1993	Michele V. Bartuccelli Charles R. Doering John Gibbon Simon J. A. Malham
+	Weak and Strong Turbulence in the CGL Equation	1993	John Gibbon Michele V. Bartuccelli Charles R. Doering
+	Lattice methods and the pressure field for solutions of the Navier-Stokes equations	1993	Michele V. Bartuccelli John Gibbon Simon J. A. Malham
+	Length Scales in Solutions of Dissipative Partial Differential Equations	1993	Michele V. Bartuccelli C. D. Doering John Gibbon Simon J. A. Malham
+ PDF Chat	Symmetrical and asymmetrical sources of variance in temporal generalization	1991	Russell M. Church Kevin D. Miller Warren H. Meck John Gibbon
+	Ladder theorems for the 2D and 3D Navier-Stokes equations on a finite periodic domain	1991	Michele V. Bartuccelli Charles R. Doering John Gibbon
+	Note on the Constantin-Foias-Temam attractor dimension estimate for two-dimensional turbulence	1991	Charles R. Doering John Gibbon
+	Origins of scalar timing	1991	John Gibbon
+	Weak and Strong Turbulence in a Class of Complex Ginzburg Landau Equations	1991	John Gibbon
+	On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation	1990	Michele V. Bartuccelli Peter Constantin Charles R. Doering John Gibbon Magnus Gisselfält
+	Hard turbulence in a finite dimensional dynamical system?	1989	Michele V. Bartuccelli Peter Constantin Charles R. Doering John Gibbon Magnus Gisselfält
+	Lax pairs, Backlund transformations and special solutions for ordinary differential equations	1988	John Gibbon Alan C. Newell M. Tabor Y B Zeng
+	The Structure Of Subjective Time: How Time Flies	1986	John Gibbon
+	Aspects of the Painlevé property for partial differential equations	1986	M. Tabor John Gibbon
+	A survey of the origins and physical importance of soliton equations	1985	John Gibbon
+	On the one- and two-dimensional Toda lattices and the Painlevé property	1985	John Gibbon M. Tabor
+	The Painlevé Property and Hirota's Method	1985	John Gibbon P.M. Radmore M. Tabor Diane R. Wood
+	Temporal integration in duration and number discrimination.	1985	Warren H. Meck Russell M. Church John Gibbon
+	Collapse in the n‐Dimensional Nonlinear Schrödinger Equation—A Parallel with Sundman's	1983	Frank Berkshire John Gibbon
+	On the form and location of the Psychometric Bisection Function for time	1981	John Gibbon
+	Time left: Linear versus logarithmic subjective time.	1981	John Gibbon Russell M. Church
+	The prolongation structures of a class of nonlinear evolution equations	1978	R. K. Dodd John Gibbon
+	The prolongation structure of a higher order Korteweg-de Vries equation	1978	R. K. Dodd John Gibbon
+	Omission training in the rat: Effects of trial offset	1978	Charles Locurto H. S. Terrace John Gibbon
+	A new hierarchy of Korteweg–de Vries equations	1976	P. J. Caudrey R. K. Dodd John Gibbon
+	A modified regularized long-wave equation with an exact two-soliton solution	1976	John Gibbon J. C. Eilbeck R. K. Dodd
+ PDF Chat	CONTINGENCY SPACES AND MEASURES IN CLASSICAL AND INSTRUMENTAL CONDITIONING<sup>1</sup>	1974	John Gibbon Robert Berryman Robert L. Thompson
+	N-Soliton solutions of some non-linear dispersive wave equations of physical significance	1974	John Gibbon P. J. Caudrey R. Bullough J. C. Eilbeck
+	The general-gamma distribution and reaction times	1965	W. J. McGill John Gibbon

Common Coauthors

Coauthor	Papers Together
Darryl D. Holm	20
Charles R. Doering	17
Michele V. Bartuccelli	9
Anupam Gupta	9
Rahul Pandit	8
Dario Vincenzi	6
Robert M. Kerr	5
M. Tabor	4
Warren H. Meck	4
R. K. Dodd	4
Russell M. Church	4
Edriss S. Titi	3
Simon J. A. Malham	3
Nairita Pal	3
S. Fairhurst	3
M. Heritage	3
Diego A. Donzis	3
Ian Roulstone	3
Daniel W. Boutros	3
Koji Ohkitani	3
C. R. Gallistel	2
Peter Constantin	2
P. J. Caudrey	2
Vladimir Roubtsov	2
J. C. Eilbeck	2
M. A. H. MacCallum	2
Magnus Gisselfält	2
Nalini Joshi	2
Jean‐Luc Thiffeault	2
Bertrand Banos	2
Dario Vincenzi	2
Kolluru Venkata Kiran	1
Emmanuel Lance Christopher VI Medillo Plan	1
Lynn Aronson	1
Sheila Cowley	1
B. Dubrulle	1
H. Beirão da Veiga	1
Adam Larios	1
Robert Berryman	1
Zachary Bradshaw	1
Homayoon Eshraghi	1
Brian C. Rakitin	1
Barak Galanti	1
Robert C. Mellon	1
Ron Levy	1
J. E. Stawarz	1
Diane R. Wood	1
A. Pouquet	1
H. Politano	1
C. David Levermore	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	31
+	New a priori estimates for navier-stokes equations in dimension 3	1981	Ciprian Foiaş Colette Guillopé Roger Témam	24
+	Evidence for a singularity of the three-dimensional, incompressible Euler equations	1993	Robert M. Kerr	23
+	Geometric constraints on potentially	1996	Charles Fefferman Andrew J. Majda	21
+	Geometric Statistics in Turbulence	1994	Peter Constantin	16
+	On the dimension of the attractors in two-dimensional turbulence	1988	Peter Constantin Ciprian Foiaş Roger Témam	16
+	Partial regularity of suitable weak solutions of the navier‐stokes equations	1982	Luis Caffarelli Robert V. Kohn Louis Nirenberg	15
+ PDF Chat	Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations	2013	Diego A. Donzis John Gibbon Anupam Gupta Robert M. Kerr Rahul Pandit Dario Vincenzi	13
+	On the nonuniqueness of weak solution of the Euler equation	1997	Alexander Shnirelman	12
+	Bounds on moments of the energy spectrum for weak solutions of the three-dimensional Navier–Stokes equations	2002	Charles R. Doering John Gibbon	11
+ PDF Chat	The Euler equations as a differential inclusion	2009	Camillo De Lellis László Székelyhidi	11
+ PDF Chat	Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations	2006	Thomas Y. Hou Ruo Li	10
+ PDF Chat	A hierarchy of length scales for weak solutions of the three-dimensional Navier-Stokes equations	2012	John Gibbon	10
+ PDF Chat	The dynamics of the gradient of potential vorticity	2010	John Gibbon Darryl D. Holm	10
+	On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation	1990	Michele V. Bartuccelli Peter Constantin Charles R. Doering John Gibbon Magnus Gisselfält	9
+ PDF Chat	Euler equations for incompressible ideal fluids	2007	Claude Bardos Edriss S. Titi	9
+ PDF Chat	Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics	2007	Chongsheng Cao Edriss S. Titi	9
+	Nonlocal nature of vortex stretching in an inviscid fluid	1995	Koji Ohkitani Seigo Kishiba	9
+	None	2000	Peter Constantin	9
+ PDF Chat	Vorticity alignment results for the three-dimensional Euler and Navier - Stokes equations	1997	Barak Galanti John Gibbon M. Heritage	9
+ PDF Chat	A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations	2002	John Gibbon	9
+	Collapsing solutions to the 3-D Euler equations	1990	Alain Pumir Eric D. Siggia	8
+	An elementary treatise on quaternions	2024	Peter Guthrie Tait	8
+	On the finite‐time singularities of the 3D incompressible Euler equations	2006	Dongho Chae	8
+	<i>L</i><sub>3,∞</sub>-solutions of the Navier-Stokes equations and backward uniqueness	2003	Luis Escauriaza G. Serëgin Vladimír Šverák	8
+ PDF Chat	Length scales in solutions of the Navier-Stokes equations	1993	Michele V. Bartuccelli Charles R. Doering John Gibbon Simon J. A. Malham	8
+ PDF Chat	Numerical study of singularity formation in a class of Euler and Navier–Stokes flows	2000	Koji Ohkitani John Gibbon	8
+	Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations	1999	Yann Brenier	8
+	Adaptive Mesh Refinement for Singular Solutions of the Incompressible Euler Equations	1998	Rainer Grauer Christiane Marliani K. Germaschewski	8
+ PDF Chat	Weak and Strong Solutions of the 3D Navier–Stokes Equations and Their Relation to a Chessboard of Convergent Inverse Length Scales	2018	John Gibbon	8
+	Numerical evidence of smooth self-similar dynamics and possibility of subsequent collapse for three-dimensional ideal flows	1992	Marc Brächet M. Meneguzzi Alain Vincent H. Politano P. L. Sulem	7
+	Infinite dimensional dynamical systems	1983	Jack K. Hale	7
+ PDF Chat	3D Euler about a 2D symmetry plane	2008	Miguel D. Bustamante Robert M. Kerr	7
+ PDF Chat	Geometric Properties and Nonblowup of 3D Incompressible Euler Flow	2005	Jian Deng Thomas Y. Hou Xinwei Yu	7
+ PDF Chat	Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods	2007	Tobias Grafke Holger Homann Jürgen Dreher Rainer Grauer	7
+ PDF Chat	On Admissibility Criteria for Weak Solutions of the Euler Equations	2008	Camillo De Lellis László Székelyhidi	7
+	Local existence and blow‐up criterion for the Euler equations in the Besov spaces	2004	Dongho Chae	7
+	Isolation of an internal clock.	1981	Seth Roberts	7
+	Improved Geometric Conditions for Non-Blowup of the 3D Incompressible Euler Equation	2006	Jian Deng Thomas Y. Hou Xinwei Yu	7
+ PDF Chat	Depletion of nonlinearity in magnetohydrodynamic turbulence: Insights from analysis and simulations	2016	John Gibbon Anupam Gupta Giorgio Krstulovic Rahul Pandit H. Politano Yannick Ponty A. Pouquet Ganapati Sahoo J. E. Stawarz	7
+	Velocity and scaling of collapsing Euler vortices	2005	Robert M. Kerr	7
+	Remarks on the Blow-up of the Euler Equations and the Related Equations	2004	Dongho Chae	7
+ PDF Chat	Quaternions and particle dynamics in the Euler fluid equations	2006	John Gibbon Darryl D. Holm Robert M. Kerr Ian Roulstone	7
+ PDF Chat	Dynamically stretched vortices as solutions of the 3D Navier–Stokes equations	1999	John Gibbon A. S. Fokas Charles R. Doering	7
+	Vorticity and the mathematical theory of incompressible fluid flow	1986	Andrew J. Majda	7
+	Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations	2000	Hideo Kozono Yasushi Taniuchi	7
+	Vorticity, Turbulence, and Acoustics in Fluid Flow	1991	Andrew J. Majda	7
+	Ladder theorems for the 2D and 3D Navier-Stokes equations on a finite periodic domain	1991	Michele V. Bartuccelli Charles R. Doering John Gibbon	7
+	Evidence for a Real-Time Singularity in Hydrodynamics from Time Series Analysis	1997	Richard B. Pelz Yuriy Gulak	7
+	Nonlinear Euler Partial Differential Equations: Singularities in their Solution	1988	J. T. Stuart	7