On the inviscid limit for two-dimensional incompressible flow with Navier friction condition MCL Filho, HJN Lopes, G Planas SIAM journal on mathematical analysis 36 (4), 1130-1141, 2005 | 133 | 2005 |
Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows MC Lopes Filho, AL Mazzucato, HJ Nussenzveig Lopes, M Taylor Bulletin of the Brazilian Mathematical Society, New Series 39 (4), 471-513, 2008 | 93 | 2008 |
Existence of Vortex Sheets with¶ Reflection Symmetry in Two Space Dimensions MC Lopes Filho, HJ Nussenzveig Lopes, Z Xin Archive for rational mechanics and analysis 158, 235-257, 2001 | 83 | 2001 |
Two dimensional incompressible ideal flow around a small obstacle D Iftimie, MC Lopes Filho, HJ Nussenzveig Lopes Taylor & Francis Group 28 (1-2), 349-379, 2003 | 80 | 2003 |
Vanishing viscosity limit for incompressible flow inside a rotating circle MC Lopes Filho, AL Mazzucato, HJN Lopes Physica D: Nonlinear Phenomena 237 (10-12), 1324-1333, 2008 | 78 | 2008 |
Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence MC Lopes Filho, AL Mazzucato, HJ Nussenzveig Lopes Archive for rational mechanics and analysis 179, 353-387, 2006 | 53 | 2006 |
Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking C Bardos, MC Lopes Filho, D Niu, HJ Nussenzveig Lopes, ES Titi SIAM Journal on Mathematical Analysis 45 (3), 1871-1885, 2013 | 50 | 2013 |
Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: indifference to boundary layers MC Lopes Filho, HJN Lopes, ES Titi, A Zang Physica D: Nonlinear Phenomena 292, 51-61, 2015 | 47 | 2015 |
Two-dimensional incompressible viscous flow around a small obstacle D Iftimie, MCL Filho, HJN Lopes Mathematische Annalen 336, 449-489, 2006 | 46 | 2006 |
Energy conservation in two-dimensional incompressible ideal fluids A Cheskidov, MCL Filho, HJN Lopes, R Shvydkoy Communications in Mathematical Physics 348, 129-143, 2016 | 42 | 2016 |
A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution M Lopes Filho, H Nussenzveig Lopes, S Schochet Transactions of the American Mathematical Society 359 (9), 4125-4142, 2007 | 42 | 2007 |
Approximate solutions of the incompressible Euler equations with no concentrations MC Lopes Filho, HJN Lopes, E Tadmor Annales de l'Institut Henri Poincaré C, Analyse non linéaire 17 (3), 371-412, 2000 | 40 | 2000 |
Numerical evidence of nonuniqueness in the evolution of vortex sheets MC Lopes Filho, J Lowengrub, HJ Nussenzveig Lopes, Y Zheng ESAIM: Modélisation mathématique et analyse numérique 40 (2), 225-237, 2006 | 37 | 2006 |
Serfati solutions to the 2D Euler equations on exterior domains DM Ambrose, JP Kelliher, MC Lopes Filho, HJN Lopes Journal of Differential Equations 259 (9), 4509-4560, 2015 | 36 | 2015 |
Nonlinear stability for steady vortex pairs GR Burton, HJ Nussenzveig Lopes, MC Lopes Filho Communications in Mathematical Physics 324, 445-463, 2013 | 35 | 2013 |
Vortex dynamics in a two-dimensional domain with holes and the small obstacle limit MCL Filho SIAM Journal on Mathematical Analysis 39 (2), 422-436, 2007 | 34 | 2007 |
Incompressible flow around a small obstacle and the vanishing viscosity limit D Iftimie, MC Lopes Filho, HJ Nussenzveig Lopes Communications in mathematical physics 287, 99-115, 2009 | 33 | 2009 |
Approximation of 2D Euler equations by the second-grade fluid equations with Dirichlet boundary conditions MC Lopes Filho, HJ Nussenzveig Lopes, ES Titi, A Zang Journal of Mathematical Fluid Mechanics 17, 327-340, 2015 | 30 | 2015 |
Wild solutions for 2D incompressible ideal flow with passive tracer A Bronzi, HN Lopes arXiv preprint arXiv:1401.0406, 2014 | 30 | 2014 |
Incompressible Euler as a limit of complex fluid models with Navier boundary conditions AV Busuioc, D Iftimie, MC Lopes Filho, HJN Lopes Journal of Differential Equations 252 (1), 624-640, 2012 | 28 | 2012 |