Busuioc, Adriana V.; Iftimie, Dragos; Lopes Filho, Milton D.; Nussenzveig Lopes, Helena J. The limit \(\alpha \to 0\) of the \(\alpha \)-Euler equations in the half-plane with no-slip boundary conditions and vortex sheet initial data. (English) Zbl 1452.35145 SIAM J. Math. Anal. 52, No. 5, 5257-5286 (2020). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 76A05 35Q31 76B99 35D30 PDF BibTeX XML Cite \textit{A. V. Busuioc} et al., SIAM J. Math. Anal. 52, No. 5, 5257--5286 (2020; Zbl 1452.35145) Full Text: DOI arXiv OpenURL
Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. Weak vorticity formulation of the incompressible 2D Euler equations in bounded domains. (English) Zbl 1471.76022 Commun. Partial Differ. Equations 45, No. 2, 109-145 (2020). MSC: 76B47 35Q31 PDF BibTeX XML Cite \textit{D. Iftimie} et al., Commun. Partial Differ. Equations 45, No. 2, 109--145 (2020; Zbl 1471.76022) Full Text: DOI arXiv OpenURL
Constantin, Peter; Filho, Milton C. Lopes; Lopes, Helena J. Nussenzveig; Vicol, Vlad Vorticity measures and the inviscid limit. (English) Zbl 1428.35352 Arch. Ration. Mech. Anal. 234, No. 2, 575-593 (2019). MSC: 35Q35 76B03 76D05 35B65 35D35 PDF BibTeX XML Cite \textit{P. Constantin} et al., Arch. Ration. Mech. Anal. 234, No. 2, 575--593 (2019; Zbl 1428.35352) Full Text: DOI arXiv OpenURL
Gie, Gung-Min; Kelliher, James P.; Lopes Filho, Milton C.; Mazzucato, Anna L.; Nussenzveig Lopes, Helena J. The vanishing viscosity limit for some symmetric flows. (English) Zbl 1416.35025 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1237-1280 (2019). MSC: 35B25 35C20 76D05 76D10 35Q30 35Q31 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1237--1280 (2019; Zbl 1416.35025) Full Text: DOI arXiv OpenURL
Lopes, Helena J. Nussenzveig; Filho, Milton C. Lopes Fluids, walls and vanishing viscosity. (English) Zbl 1448.35378 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2519-2540 (2018). MSC: 35Q31 35Q30 76D10 76F06 PDF BibTeX XML Cite \textit{H. J. N. Lopes} and \textit{M. C. L. Filho}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2519--2540 (2018; Zbl 1448.35378) Full Text: DOI OpenURL
Jiu, Quansen; Lopes Filho, Milton C.; Niu, Dongjuan; Nussenzveig Lopes, Helena J. The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry. (English) Zbl 1398.35148 Physica D 376-377, 238-246 (2018). MSC: 35Q30 35Q31 35D30 35B06 76D05 PDF BibTeX XML Cite \textit{Q. Jiu} et al., Physica D 376--377, 238--246 (2018; Zbl 1398.35148) Full Text: DOI arXiv OpenURL
Ambrose, David M.; Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J. Confinement of vorticity for the 2D Euler-\(\alpha\) equations. (English) Zbl 1403.35212 J. Differ. Equations 265, No. 11, 5472-5489 (2018). MSC: 35Q31 35D30 76A05 76B47 35R06 PDF BibTeX XML Cite \textit{D. M. Ambrose} et al., J. Differ. Equations 265, No. 11, 5472--5489 (2018; Zbl 1403.35212) Full Text: DOI arXiv OpenURL
Cheskidov, A.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Shvydkoy, R. Energy conservation in two-dimensional incompressible ideal fluids. (English) Zbl 1351.35112 Commun. Math. Phys. 348, No. 1, 129-143 (2016). MSC: 35Q31 35Q30 76F02 PDF BibTeX XML Cite \textit{A. Cheskidov} et al., Commun. Math. Phys. 348, No. 1, 129--143 (2016; Zbl 1351.35112) Full Text: DOI OpenURL
Busuioc, A. V.; Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. Uniform time of existence for the alpha Euler equations. (English) Zbl 1351.35110 J. Funct. Anal. 271, No. 5, 1341-1375 (2016). MSC: 35Q31 76A05 35D35 PDF BibTeX XML Cite \textit{A. V. Busuioc} et al., J. Funct. Anal. 271, No. 5, 1341--1375 (2016; Zbl 1351.35110) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers. (English) Zbl 1364.35277 Physica D 292-293, 51-61 (2015). MSC: 35Q35 35Q31 76B03 35A35 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Physica D 292--293, 51--61 (2015; Zbl 1364.35277) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Titi, Edriss S.; Zang, Aibin Approximation of 2D Euler equations by the second-grade fluid equations with Dirichlet boundary conditions. (English) Zbl 1328.35153 J. Math. Fluid Mech. 17, No. 2, 327-340 (2015). MSC: 35Q30 76D05 76D10 76A10 35Q31 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., J. Math. Fluid Mech. 17, No. 2, 327--340 (2015; Zbl 1328.35153) Full Text: DOI arXiv OpenURL
Ambrose, David M.; Kelliher, James P.; Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J. Serfati solutions to the 2D Euler equations on exterior domains. (English) Zbl 1321.35144 J. Differ. Equations 259, No. 9, 4509-4560 (2015). MSC: 35Q31 76B03 35D30 PDF BibTeX XML Cite \textit{D. M. Ambrose} et al., J. Differ. Equations 259, No. 9, 4509--4560 (2015; Zbl 1321.35144) Full Text: DOI arXiv OpenURL
Bronzi, A. C.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. Global existence of a weak solution of the incompressible Euler equations with helical symmetry and \(L^p\) vorticity. (English) Zbl 1319.35171 Indiana Univ. Math. J. 64, No. 1, 309-341 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q31 76B47 35D30 PDF BibTeX XML Cite \textit{A. C. Bronzi} et al., Indiana Univ. Math. J. 64, No. 1, 309--341 (2015; Zbl 1319.35171) Full Text: DOI arXiv Link OpenURL
Lopes Filho, Milton C.; Mazzucato, Anna L.; Niu, Dongjuan; Lopes, Helena J. Nussenzveig; Titi, Edriss S. Planar limits of three-dimensional incompressible flows with helical symmetry. (English) Zbl 1312.35144 J. Dyn. Differ. Equations 26, No. 4, 843-869 (2014). Reviewer: Cheng He (Beijing) MSC: 35Q35 65M70 76D05 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., J. Dyn. Differ. Equations 26, No. 4, 843--869 (2014; Zbl 1312.35144) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Nguyen, Huy Hoang; Nussenzveig Lopes, Helena J. Incompressible and ideal 2D flow around a small obstacle with constant velocity at infinity. (English) Zbl 1280.35104 Q. Appl. Math. 71, No. 4, 679-687 (2013). MSC: 35Q31 35Q35 76B03 76B47 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Q. Appl. Math. 71, No. 4, 679--687 (2013; Zbl 1280.35104) Full Text: DOI OpenURL
Bardos, C.; Lopes Filho, M. C.; Niu, Dongjuan; Nussenzveig Lopes, H. J.; Titi, E. S. Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking. (English) Zbl 1291.35207 SIAM J. Math. Anal. 45, No. 3, 1871-1885 (2013). MSC: 35Q35 65M70 PDF BibTeX XML Cite \textit{C. Bardos} et al., SIAM J. Math. Anal. 45, No. 3, 1871--1885 (2013; Zbl 1291.35207) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C. Boundary layers and the vanishing viscosity limit for incompressible 2D flow. (English) Zbl 1291.35189 Lin, Fanghua (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 1. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-235-0/pbk). Morningside Lectures in Mathematics 1, 1-29 (2012). MSC: 35Q30 35Q31 76D05 76D03 PDF BibTeX XML Cite \textit{M. C. Lopes Filho}, Morningside Lect. Math. 1, 1--29 (2012; Zbl 1291.35189) Full Text: arXiv OpenURL
Busuioc, A. V.; Iftimie, D.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. Incompressible Euler as a limit of complex fluid models with Navier boundary conditions. (English) Zbl 1232.35122 J. Differ. Equations 252, No. 1, 624-640 (2012). Reviewer: Keisuke Uchikoshi (Yokosuka) MSC: 35Q31 76A10 35D30 35B07 PDF BibTeX XML Cite \textit{A. V. Busuioc} et al., J. Differ. Equations 252, No. 1, 624--640 (2012; Zbl 1232.35122) Full Text: DOI Link OpenURL
Lopes Filho, Milton C.; Miot, Evelyne; Nussenzveig Lopes, Helena J. Existence of a weak solution in \(L ^{p }\) to the vortex-wave system. (English) Zbl 1226.76005 J. Nonlinear Sci. 21, No. 5, 685-703 (2011). MSC: 76B03 35Q31 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., J. Nonlinear Sci. 21, No. 5, 685--703 (2011; Zbl 1226.76005) Full Text: DOI OpenURL
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Precioso, Juliana C. Least action principle and the incompressible Euler equations with variable density. (English) Zbl 1221.35289 Trans. Am. Math. Soc. 363, No. 5, 2641-2661 (2011). Reviewer: Cheng He (Beijing) MSC: 35Q31 76B03 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Trans. Am. Math. Soc. 363, No. 5, 2641--2661 (2011; Zbl 1221.35289) Full Text: DOI OpenURL
Kelliher, James P.; Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J. Vanishing viscosity limit for an expanding domain in space. (English) Zbl 1260.35146 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2521-2537 (2009). MSC: 35Q35 35Q31 35B25 76B99 76D05 PDF BibTeX XML Cite \textit{J. P. Kelliher} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2521--2537 (2009; Zbl 1260.35146) Full Text: DOI arXiv EuDML OpenURL
Iftimie, Dragoş; Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J. Incompressible flow around a small obstacle and the vanishing viscosity limit. (English) Zbl 1173.35628 Commun. Math. Phys. 287, No. 1, 99-115 (2009). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{D. Iftimie} et al., Commun. Math. Phys. 287, No. 1, 99--115 (2009; Zbl 1173.35628) Full Text: DOI arXiv OpenURL
Filho, M. C. Lopes; Mazzucato, A. L.; Lopes, H. J. Nussenzveig Vanishing viscosity limit for incompressible flow inside a rotating circle. (English) Zbl 1143.76416 Physica D 237, No. 10-12, 1324-1333 (2008). MSC: 76D03 76U05 35Q30 PDF BibTeX XML Cite \textit{M. C. L. Filho} et al., Physica D 237, No. 10--12, 1324--1333 (2008; Zbl 1143.76416) Full Text: DOI OpenURL
Fernandes, F. Z.; Lopes Filho, M. C. Two-dimensional incompressible ideal flows in a noncylindrical material domain. (English) Zbl 1141.35430 Math. Models Methods Appl. Sci. 17, No. 12, 2035-2053 (2007). MSC: 35Q05 35Q30 46B03 PDF BibTeX XML Cite \textit{F. Z. Fernandes} and \textit{M. C. Lopes Filho}, Math. Models Methods Appl. Sci. 17, No. 12, 2035--2053 (2007; Zbl 1141.35430) Full Text: DOI arXiv OpenURL
Lopes Filho, M. C. Vortex dynamics in a two-dimensional domain with holes and the small obstacle limit. (English) Zbl 1286.76018 SIAM J. Math. Anal. 39, No. 2, 422-436 (2007). MSC: 76B03 76B47 35Q31 PDF BibTeX XML Cite \textit{M. C. Lopes Filho}, SIAM J. Math. Anal. 39, No. 2, 422--436 (2007; Zbl 1286.76018) Full Text: DOI OpenURL
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi Numerical evidence of nonuniqueness in the evolution of vortex sheets. (English) Zbl 1124.76010 ESAIM, Math. Model. Numer. Anal. 40, No. 2, 225-237 (2006). MSC: 76B47 76B03 76M23 35Q30 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., ESAIM, Math. Model. Numer. Anal. 40, No. 2, 225--237 (2006; Zbl 1124.76010) Full Text: DOI Numdam EuDML OpenURL
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Xin, Zhouping Vortex sheets with reflection symmetry in exterior domains. (English) Zbl 1102.76009 J. Differ. Equations 229, No. 1, 154-171 (2006). MSC: 76B47 76B03 35Q35 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., J. Differ. Equations 229, No. 1, 154--171 (2006; Zbl 1102.76009) Full Text: DOI OpenURL
Iftimie, D.; Filho, M. C. Lopes; Lopes, H. J. Nussenzveig Large time behavior for vortex evolution in the half-plane. (English) Zbl 1037.76009 Commun. Math. Phys. 237, No. 3, 441-469 (2003). MSC: 76B47 35Q35 35B40 PDF BibTeX XML Cite \textit{D. Iftimie} et al., Commun. Math. Phys. 237, No. 3, 441--469 (2003; Zbl 1037.76009) Full Text: DOI arXiv OpenURL
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Tadmor, Eitan Approximate solutions of the incompressible Euler equations with no concentrations. (English) Zbl 0965.35110 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 3, 371-412 (2000). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q05 35Q35 35A35 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 17, No. 3, 371--412 (2000; Zbl 0965.35110) Full Text: DOI Numdam EuDML OpenURL
Hounie, J.; Lopes Filho, M. C.; Nussenzveig Lopes, H. J. Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity. (English) Zbl 0961.35119 SIAM J. Math. Anal. 31, No. 1, 134-153 (1999). MSC: 35Q35 76B47 PDF BibTeX XML Cite \textit{J. Hounie} et al., SIAM J. Math. Anal. 31, No. 1, 134--153 (1999; Zbl 0961.35119) Full Text: DOI OpenURL
Lopes Filho, M. C.; Nussenzveig Lopes, H. J.; Zheng, Yuxi Convergence of the vanishing viscosity approximation for superpositions of confined eddies. (English) Zbl 0942.76012 Commun. Math. Phys. 201, No. 2, 291-304 (1999). Reviewer: F.Kaplanski (Tallinn) MSC: 76D03 76D05 35Q30 PDF BibTeX XML Cite \textit{M. C. Lopes Filho} et al., Commun. Math. Phys. 201, No. 2, 291--304 (1999; Zbl 0942.76012) Full Text: DOI OpenURL
Hounie, J.; Lopes-Filho, M. C.; Nussenzveig Lopes, H. J.; Sochet, S. A priori estimates for the stream function of a 2D incompressible, inviscid fluid. (English) Zbl 0897.76015 Nonlinear Anal., Theory Methods Appl. 30, No. 8, 5053-5058 (1997). Reviewer: O.Titow (Berlin) MSC: 76B47 35Q35 PDF BibTeX XML Cite \textit{J. Hounie} et al., Nonlinear Anal., Theory Methods Appl. 30, No. 8, 5053--5058 (1997; Zbl 0897.76015) Full Text: DOI OpenURL
Lopes-Filho, M. C.; Nussenzveig Lopes, H. J. Concentration sets for 2D incompressible flow. (English) Zbl 0888.76013 Z. Angew. Math. Mech. 76, Suppl. 2, 101-104 (1996). MSC: 76B99 35Q35 PDF BibTeX XML Cite \textit{M. C. Lopes-Filho} and \textit{H. J. Nussenzveig Lopes}, Z. Angew. Math. Mech. 76, 101--104 (1996; Zbl 0888.76013) OpenURL