Milton C. Lopes Filho

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All published works
Action Title Year Authors
+ PDF Chat Existence and analyticity of solutions of the Kuramoto–Sivashinsky equation with singular data 2024 David M. Ambrose
Milton C. Lopes Filho
Milton C. Lopes Filho
+ Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier–Stokes equations on the torus 2024 David M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Sharp conditions for energy balance in two-dimensional incompressible ideal flow with external force 2024 Fabian Jin
Samuel Lanthaler
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Improved regularity and analyticity of Cannone-Karch solutions of the three-dimensional Navier-Stokes equations on the torus 2024 David M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat The incompressible \alpha-Euler equations in the exterior of a vanishing disk 2024 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena Judith Nussenzveig Lopes
+ Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus 2023 David M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Large time behavior for the 3D Navier-Stokes with Navier boundary conditions 2023 James P. Kelliher
Christophe Lacave
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Large time behavior for the 3D Navier-Stokes with Navier boundary conditions 2023 James P. Kelliher
Christophe Lacave
Milton C. Lopes Filho
Milton C. Lopes Filho
+ Existence and analyticity of solutions of the Kuramoto-Sivashinsky equation with singular data 2023 David M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Energy balance for forced two-dimensional incompressible ideal fluid flow <sup /> 2022 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ The incompressible $α$--Euler equations in the exterior of a vanishing disk 2022 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Existence and analyticity of the Lei-Lin solution of the Navier-Stokes equations on the torus 2022 D. M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ The limit $α\to 0$ of the $α$-Euler equations in the half plane with no-slip boundary conditions and vortex sheet initial data 2020 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat The Limit $\alpha \to 0$ of the $\alpha$-Euler Equations in the Half-Plane with No-Slip Boundary Conditions and Vortex Sheet Initial Data 2020 Adriana Valentina Busuioc
Dragoş Iftimie
Milton Filho
Milton C. Lopes Filho
+ Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains 2019 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Vorticity Measures and the Inviscid Limit 2019 Peter Constantin
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Vlad Vicol
+ The vanishing viscosity limit for some symmetric flows 2018 Gung-Min Gie
James P. Kelliher
Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
+ PDF Chat Confinement of vorticity for the 2D Euler-α equations 2018 David M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Asymptotic behavior of 2D incompressible ideal flow around small disks 2018 Christophe Lacave
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat The limit of vanishing viscosity for the incompressible 3D Navier–Stokes equations with helical symmetry 2018 Quansen Jiu
Milton C. Lopes Filho
Dongjuan Niu
Helena J. Nussenzveig Lopes
+ Confinement of vorticity for the 2D Euler-alpha equations 2018 David M. Ambrose
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ The Vanishing viscosity limit for some symmetric flows 2017 Gung‐Min Gie
James P. Kelliher
Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
+ The Vanishing viscosity limit for some symmetric flows 2017 Gung‐Min Gie
James P. Kelliher
Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
+ Energy Conservation in Two-dimensional Incompressible Ideal Fluids 2016 Alexey Cheskidov
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Roman Shvydkoy
+ Uniform time of existence for the alpha Euler equations 2016 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Serfati solutions to the 2D Euler equations on exterior domains 2015 David M. Ambrose
James P. Kelliher
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions 2015 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Edriss S. Titi
Aibin Zang
+ Asymptotic behavior of 2D incompressible ideal flow around small disks 2015 Christophe Lacave
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Uniform time of existence for the alpha Euler equations 2015 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ On the Onsager conjecture in two dimensions 2015 Alexey Cheskidov
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Roman Shvydkoy
+ PDF Chat Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity 2015 Anne C. Bronzi
Helena Judith Nussenzveig Lopes
Milton C. Lopes Filho
+ PDF Chat Wild solutions for 2D incompressible ideal flow with passive tracer 2015 Anne C. Bronzi
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Convergence of the 2D Euler-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>α</mml:mi></mml:math> to Euler equations in the Dirichlet case: Indifference to boundary layers 2014 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Edriss S. Titi
Aibin Zang
+ PDF Chat Planar Limits of Three-Dimensional Incompressible Flows with Helical Symmetry 2014 Milton C. Lopes Filho
Anna L. Mazzucato
Dongjuan Niu
Helena J. Nussenzveig Lopes
Edriss S. Titi
+ Serfati solutions to the 2D Euler equations on exterior domains 2014 David M. Ambrose
James P. Kelliher
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Serfati solutions to the 2D Euler equations on exterior domains 2014 David M. Ambrose
James P. Kelliher
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Continuous data assimilation for the three-dimensional Navier-Stokes-$α$ 2014 Débora A. F. Albanez
Milton C. Lopes Filho
Edriss S. Titi
+ PDF Chat Nonlinear Stability for Steady Vortex Pairs 2013 G. R. Burton
Helena J. Nussenzveig Lopes
Milton C. Lopes Filho
+ Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity 2013 Anne C. Bronzi
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Incompressible and ideal 2D flow around a small obstacle with constant velocity at infinity 2013 Milton C. Lopes Filho
Huy Hoang Nguyen
Helena J. Nussenzveig Lopes
+ Weak vorticity formulation for the incompressible Euler equations in domains with boundary 2013 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Franck Sueur
+ PDF Chat Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking 2013 Claude Bardos
Milton C. Lopes Filho
Dongjuan Niu
Helena J. Nussenzveig Lopes
Edriss S. Titi
+ Global existence of a weak solution of the incompressible Euler equations with helical symmetry and $L^p$ vorticity 2013 Anne C. Bronzi
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Flows of vector fields with point singularities and the vortex-wave system 2013 Gianluca Crippa
Milton C. Lopes Filho
Évelyne Miot
Helena J. Nussenzveig Lopes
+ Stability of Two-dimensional Viscous Incompressible Flows Under Three-dimensional Perturbations and Inviscid Symmetry Breaking 2012 Claude Bardos
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Dongjuan Niu
Edriss S. Titi
+ Stability of Two-dimensional Viscous Incompressible Flows Under Three-dimensional Perturbations and Inviscid Symmetry Breaking 2012 Claude Bardos
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Dongjuan Niu
Edriss S. Titi
+ Incompressible Euler as a limit of complex fluid models with Navier boundary conditions 2011 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Existence of a Weak Solution in L p to the Vortex-Wave System 2011 Milton C. Lopes Filho
Évelyne Miot
Milton C. Lopes Filho
+ Least action principle and the incompressible Euler equations with variable density 2010 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Juliana C. Precioso
+ PDF Chat Weak stability of Lagrangian solutions to the semigeostrophic equations 2009 J.C.O. Faria
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Vanishing viscosity limit for an expanding domain in space 2009 Helena J. Nussenzveig Lopes
James P. Kelliher
Milton C. Lopes Filho
+ PDF Chat Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows 2008 Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
Michael E. Taylor
+ PDF Chat Incompressible Flow Around a Small Obstacle and the Vanishing Viscosity Limit 2008 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Vanishing viscosity limit for incompressible flow inside a rotating circle 2008 Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
+ PDF Chat TWO-DIMENSIONAL INCOMPRESSIBLE IDEAL FLOWS IN A NONCYLINDRICAL MATERIAL DOMAIN 2007 Flavia Z. Fernandes
Milton C. Lopes Filho
+ PDF Chat Confinement of vorticity in two dimensional ideal incompressible exterior flow 2007 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution 2007 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Steven Schochet
+ Boundary layers and the vanishing viscosity limit for incompressible 2D flow 2007 Milton C. Lopes Filho
+ Vortex Dynamics in a Two-Dimensional Domain with Holes and the Small Obstacle Limit 2007 Milton C. Lopes Filho
+ Two-dimensional incompressible ideal flows in a noncylindrical material domain 2007 Flavia Z. Fernandes
Milton C. Lopes Filho
+ PDF Chat Two-dimensional incompressible viscous flow around a small obstacle 2006 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Vortex sheets with reflection symmetry in exterior domains 2006 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Zhouping Xin
+ PDF Chat Numerical evidence of nonuniqueness in the evolution of vortex sheets 2006 Milton C. Lopes Filho
John Lowengrub
Helena J. Nussenzveig Lopes
Yuxi Zheng
+ Vanishing Viscosity Limit for Incompressible Flow Around a Sufficiently Small Obstacle 2006 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Confinement of vorticity in two dimensional ideal incompressible exterior flow 2006 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Weak Solutions, Renormalized Solutions and Enstrophy Defects in 2D Turbulence 2005 Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
+ On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition 2005 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Gabriela Planas
+ A Criterion for the Equivalence of the Birkhoff-Rott and Euler Descriptions of Vortex Sheet Evolution 2005 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Steven Schochet
+ Two-dimensional incompressible viscous flow around a small obstacle 2005 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence 2004 Milton C. Lopes Filho
Anna L. Mazzucato
Milton C. Lopes Filho
+ PDF Chat Large Time Behavior for Vortex Evolution in the Half-Plane 2003 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat On the large-time behavior of two-dimensional vortex dynamics 2003 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ PDF Chat Two Dimensional Incompressible Ideal Flow Around a Small Obstacle 2003 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ On the inviscid limit for 2D incompressible flow with Navier friction condition 2003 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
García Planas
+ Existence of a weak solution for the semigeostrophic equation with integrable initial data 2002 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Two dimensional incompressible ideal flow around a small obstacle 2002 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Pointwise Blow-up of Sequences Bounded in L1 2001 Milton C. Lopes Filho
Milton C. Lopes Filho
+ PDF Chat Existence of Vortex Sheets with Reflection Symmetry in Two Space Dimensions 2001 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Zhouping Xin
+ PDF Chat Approximate solutions of the incompressible Euler equations with no concentrations 2000 Milton C. Lopes Filho
Eitan Tadmor
Helena J. Nussenzveig Lopes
+ PDF Chat Propagation of support and singularity formation for a class of $2$D quasilinear hyperbolic systems 1999 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ Convergence of the Vanishing Viscosity Approximation for Superpositions of Confined Eddies 1999 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Yuxi Zheng
+ A priori temporal regularity for the stream function of 2D incompressible, inviscid flow 1999 Jorge Hounie
Milton C. Lopes Filho
H.J. NussenzveigLopes
Steven Schochet
+ Bounds on the Dispersion of Vorticity in 2D Incompressible, Inviscid Flows with A Priori Unbounded Velocity 1999 Jorge Hounie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
+ An Extension of Marchioro's Bound on the Growth of a Vortex Patch to Flows with series\itshape L$^\mbox\scriptsizeseries\itshapep$ Vorticity 1998 Milton C. Lopes Filho
Milton C. Lopes Filho
+ A priori estimates for the stream function of a 2D incompressible, inviscid fluid 1997 Jorge Hounie
Milton C. Lopes Filho
Milton C. Lopes Filho
S. Sochet
+ Singularity Formation for a System of Conservation Laws in Two Space Dimensions 1996 Milton C. Lopes Filho
Milton C. Lopes Filho
+ Multidimensional hyperbolic systems with degenerate characteristic structure 1995 Helena Nussenzveig Lopes
Milton C. Lopes Filho
+ A geometric study of shocks in equations that change type 1994 Barbara Lee Keyfitz
Milton C. Lopes Filho
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Existence de nappes de tourbillon en dimension deux 1991 Jean-Marc Delort
34
+ The weak vorticity formulation of the 2-d euler equations and concentration-cancellation 1995 Steven Schochet
19
+ OnL 1-vorticity for 2-D incompressible flow 1993 Italo Vecchi
Sijue Wu
15
+ PDF Chat Approximate solutions of the incompressible Euler equations with no concentrations 2000 Milton C. Lopes Filho
Eitan Tadmor
Helena J. Nussenzveig Lopes
13
+ Concentrations in regularizations for 2‐D incompressible flow 1987 Ronald J. DiPerna
Andrew J. Majda
13
+ PDF Chat Two Dimensional Incompressible Ideal Flow Around a Small Obstacle 2003 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
12
+ PDF Chat On the evolution of compactly supported planar vorticity 1999 Dragoš Sideris
Thomas C. Sideris
Pascal Gamblin
11
+ Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data 1995 Jian‐Guo Liu
Zhouping Xin
11
+ PDF Chat Existence of Vortex Sheets with Reflection Symmetry in Two Space Dimensions 2001 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Zhouping Xin
11
+ On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions 1998 Thierry Clopeau
Andro Mikelić
Raoul Robert
10
+ Boundary Layers Associated with Incompressible Navier–Stokes Equations: The Noncharacteristic Boundary Case 2002 Roger Témam
Xiaoming Wang
10
+ PDF Chat Bounds on the growth of the support of a vortex patch 1994 Carlo Marchioro
10
+ Remarks on Zero Viscosity Limit for Nonstationary Navier- Stokes Flows with Boundary 1984 Tosio Kato
10
+ On the Growth of the Vorticity Support for an Incompressible Non-viscous Fluid in a Two-dimensional Exterior Domain 1996 Carlo Marchioro
9
+ PDF Chat A Kato type theorem on zero viscosity limit of Navier-Stokes flows 2001 Xiaoming Wang
9
+ PDF Chat Uniqueness Theorem for the Basic Nonstationary Problem in the Dynamics of an Ideal Incompressible Fluid 1995 V. I. Yudovich
9
+ A remark on the inviscid limit for two-dimensional incompressible fluids 1996 Jean-Yves Chemin
9
+ On the Inviscid Limit for Two-Dimensional Incompressible Flow with Navier Friction Condition 2005 Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
Gabriela Planas
8
+ Example of zero viscosity limit for two dimensional nonstationary Navier-Stokes flows with boundary 1994 Shin’ya Matsui
8
+ Singular Integrals and Differentiability Properties of Functions. 1971 Elias M. Stein
8
+ Ordinary differential equations, transport theory and Sobolev spaces 1989 Ronald J. DiPerna
Pierre Louis Lions
8
+ PDF Chat Reduced Hausdorff dimension and concentration-cancellation for two-dimensional incompressible flow 1988 Ronald J. DiPerna
Andrew J. Majda
8
+ Vortex Dynamics in a Two-Dimensional Domain with Holes and the Small Obstacle Limit 2007 Milton C. Lopes Filho
8
+ PDF Chat Incompressible flows of an ideal fluid with vorticity in borderline spaces of besov type1 1999 Misha Vishik
7
+ PDF Chat Mathematics and turbulence: where do we stand? 2013 Claude Bardos
Edriss S. Titi
7
+ PDF Chat Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows 2008 Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
Michael E. Taylor
7
+ PDF Chat Smoothness to the boundary of conformal maps 1987 Steven R. Bell
Steven G. Krantz
7
+ PDF Chat Two-dimensional incompressible viscous flow around a small obstacle 2006 Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
7
+ Invariant helical subspaces for the Navier-Stokes equations 1990 Alex Mahalov
Edriss S. Titi
S. Leibovich
6
+ PDF Chat Hardy spaces and the two-dimensional Euler equations with nonnegative vorticity 1994 L. C. Evans
Stefan Müller
6
+ Groups of Diffeomorphisms and the Motion of an Incompressible Fluid 1970 David G. Ebin
Jerrold E. Marsden
6
+ Quelques méthodes de résolution des problèmes aux limites non linéaires 1969 Jacques Louis Lions
6
+ On the vanishing viscosity limit for the 3D Navier‐Stokes equations with a slip boundary condition 2007 Yuelong Xiao
Zhouping Xin
6
+ Inviscid limits for the Navier–Stokes equations with Navier friction boundary conditions 2006 Dragoş Iftimie
Gabriela Planas
6
+ On the nonuniqueness of weak solution of the Euler equation 1997 Alexander Shnirelman
5
+ PDF Chat Existence of weak solutions for the incompressible Euler equations 2011 Emil Wiedemann
5
+ A refined estimate of the size of concentration sets for 2D incompressible inviscid flow 1997 Helena J. Nussenzveig Lopes
5
+ PDF Chat On Admissibility Criteria for Weak Solutions of the Euler Equations 2008 Camillo De Lellis
László Székelyhidi
5
+ Weak Convergence Methods for Nonlinear Partial Differential Equations 1990 Lawrence Evans
5
+ PDF Chat Oscillations and concentrations in weak solutions of the incompressible fluid equations 1987 Ronald J. DiPerna
Andrew J. Majda
5
+ Vanishing viscosity limit for incompressible flow inside a rotating circle 2008 Milton C. Lopes Filho
Anna L. Mazzucato
Helena J. Nussenzveig Lopes
5
+ PDF Chat On the Convergence Rate of the Euler-α, an Inviscid Second-Grade Complex Fluid, Model to the Euler Equations 2010 Jasmine S. Linshiz
Edriss S. Titi
5
+ PDF Chat The geometry and analysis of the averaged Euler equations and a new diffeomorphism group 2000 Jerrold E. Marsden
Tudor S. Raţiu
Steve Shkoller
5
+ Vorticity and the mathematical theory of incompressible fluid flow 1986 Andrew J. Majda
5
+ Incompressible Euler as a limit of complex fluid models with Navier boundary conditions 2011 Adriana Valentina Busuioc
Dragoş Iftimie
Milton C. Lopes Filho
Helena J. Nussenzveig Lopes
5
+ Non-stationary flow of an ideal incompressible liquid 1963 V. I. Yudovich
5
+ PDF Chat On Kato's conditions for vanishing viscosity 2007 James P. Kelliher
5
+ The Zero‐Viscosity Limit of the 2D Navier–Stokes Equations 2002 Jerry L. Bona
Jiahong Wu
5
+ PDF Chat Partial Differential Equations 1988 Shiing-Shen Chern
5
+ PDF Chat Existence de Nappes de Tourbillon en Dimension Deux 1991 Jean-Marc Delort
5