Publications
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Incompressible Euler as a limit of complex fluid models with Navier boundary conditions: Journal of Differential Equations 2012
Busuioc, A.V. and Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2012). "Incompressible Euler as a limit of complex fluid models with Navier boundary conditions", Journal of Differential Equations, vol. 252, no. 1, pp. 624-640 -
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Existence of a Weak Solution in L p to the Vortex-Wave System: Journal of Nonlinear Science 2011
Lopes Filho, M.C. and Miot, E. and Nussenzveig Lopes, H.J., (2011). "Existence of a Weak Solution in L p to the Vortex-Wave System", Journal of Nonlinear Science, vol. 21, no. 5, pp. 685-703 -
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Least action principle and the incompressible euler equations with variable density: Transactions of the American Mathematical Society 2011
Lopes Filho, M.C. and Nussenzveig Lopes, H.J. and Precioso, J.C., (2011). "Least action principle and the incompressible euler equations with variable density", Transactions of the American Mathematical Society, vol. 363, no. 5, pp. 2641-2661 -
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Transport of interfaces with surface tension by 2D viscous flows: Interfaces and Free Boundaries 2010
Ambrose, D.M. and Filho, M.C.L. and Lopes, H.J.N. and Strauss, W.A., (2010). "Transport of interfaces with surface tension by 2D viscous flows", Interfaces and Free Boundaries, vol. 12, no. 1, pp. 23-44 -
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Vortex dynamics on a domain with holes: Theoretical and Computational Fluid Dynamics 2010
Lopes Filho, M.D.C. and Nussenzveig Lopes, H.J., (2010). "Vortex dynamics on a domain with holes", Theoretical and Computational Fluid Dynamics, vol. 24, no. 1-4, pp. 51-57 -
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Incompressible flow around a small obstacle and the vanishing viscosity limit: Communications in Mathematical Physics 2009
Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2009). "Incompressible flow around a small obstacle and the vanishing viscosity limit", Communications in Mathematical Physics, vol. 287, no. 1, pp. 99-115 -
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Vanishing viscosity limit for an expanding domain in space: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 2009
Kelliher, J.P. and Filho, M.C.L. and Lopes, H.J.N., (2009). "Vanishing viscosity limit for an expanding domain in space", Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 26, no. 6, pp. 2521-2537 -
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Weak stability of Lagrangian solutions to the semigeostrophic equations: Nonlinearity 2009
Faria, J.C.O. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2009). "Weak stability of Lagrangian solutions to the semigeostrophic equations", Nonlinearity, vol. 22, no. 10, pp. 2521-2539 -
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Computational visualization of Shnirelman's compactly supported weak solution: Physica D: Nonlinear Phenomena 2008
Bronzi, A.C. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2008). "Computational visualization of Shnirelman's compactly supported weak solution", Physica D: Nonlinear Phenomena, vol. 237, no. 14-17, pp. 1989-1992 -
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Vanishing viscosity limit for incompressible flow inside a rotating circle: Physica D: Nonlinear Phenomena 2008
Lopes Filho, M.C. and Mazzucato, A.L. and Nussenzveig Lopes, H.J., (2008). "Vanishing viscosity limit for incompressible flow inside a rotating circle", Physica D: Nonlinear Phenomena, vol. 237, no. 10-12, pp. 1324-1333 -
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Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows: Bulletin of the Brazilian Mathematical Society 2008
Lopes Filho, M.C. and Mazzucato, A.L. and Nussenzveig Lopes, H.J. and Taylor, M., (2008). "Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows", Bulletin of the Brazilian Mathematical Society, vol. 39, no. 4, pp. 471-513 -
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A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution: Transactions of the American Mathematical Society 2007
Filho, M.C.L. and Lopes, H.J.N. and Schochet, S., (2007). "A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution", Transactions of the American Mathematical Society, vol. 359, no. 9, pp. 4125-4142 -
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Confinement of vorticity in two dimensional ideal incompressible exterior flow: Quarterly of Applied Mathematics 2007
Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J.N., (2007). "Confinement of vorticity in two dimensional ideal incompressible exterior flow", Quarterly of Applied Mathematics, vol. 65, no. 3, pp. 499-521 -
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Two-dimensional incompressible ideal flows in a noncylindrical material domain: Mathematical Models and Methods in Applied Sciences 2007
Fernandes, F.Z. and Filho, M.C.L., (2007). "Two-dimensional incompressible ideal flows in a noncylindrical material domain", Mathematical Models and Methods in Applied Sciences, vol. 17, no. 12, pp. 2035-2053 -
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Vortex dynamics in a two-dimensional domain with holes and the small obstacle limit: SIAM Journal on Mathematical Analysis 2007
Lopes Filho, M.C., (2007). "Vortex dynamics in a two-dimensional domain with holes and the small obstacle limit", SIAM Journal on Mathematical Analysis, vol. 39, no. 2, pp. 422-436 -
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Numerical evidence of nonuniqueness in the evolution of vortex sheets: Mathematical Modelling and Numerical Analysis 2006
Lopes Filho, M.C. and Lowengrub, J. and Nussenzveig Lopes, H.J. and Zheng, Y., (2006). "Numerical evidence of nonuniqueness in the evolution of vortex sheets", Mathematical Modelling and Numerical Analysis, vol. 40, no. 2, pp. 225-237 -
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Two-dimensional incompressible viscous flow around a small obstacle: Mathematische Annalen 2006
Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2006). "Two-dimensional incompressible viscous flow around a small obstacle", Mathematische Annalen, vol. 336, no. 2, pp. 449-489 -
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Vortex sheets with reflection symmetry in exterior domains: Journal of Differential Equations 2006
Lopes Filho, M.C. and Nussenzveig Lopes, H.J. and Xin, Z., (2006). "Vortex sheets with reflection symmetry in exterior domains", Journal of Differential Equations, vol. 229, no. 1, pp. 154-171 -
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Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence: Archive for Rational Mechanics and Analysis 2006
Filho, M.C.L. and Mazzucato, A.L. and Nussenzveig Lopes, H.J., (2006). "Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence", Archive for Rational Mechanics and Analysis, vol. 179, no. 3, pp. 353-387 -
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On the inviscid limit for two-dimensional incompressible flow with Navier friction condition: SIAM Journal on Mathematical Analysis 2005
Filho, M.C.L. and Lopes, H.J.N. and Planas, G., (2005). "On the inviscid limit for two-dimensional incompressible flow with Navier friction condition", SIAM Journal on Mathematical Analysis, vol. 36, no. 4, pp. 1130-1141 -
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Large time behavior for vortex evolution in the half-plane: Communications in Mathematical Physics 2003
Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2003). "Large time behavior for vortex evolution in the half-plane", Communications in Mathematical Physics, vol. 237, no. 3, pp. 441-469 -
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On the large-time behavior of two-dimensional vortex dynamics: Physica D: Nonlinear Phenomena 2003
Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2003). "On the large-time behavior of two-dimensional vortex dynamics", Physica D: Nonlinear Phenomena, vol. 179, no. 3-4, pp. 153-160 -
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Two dimensional incompressible ideal flow around a small obstacle: Communications in Partial Differential Equations 2003
Iftimie, D. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2003). "Two dimensional incompressible ideal flow around a small obstacle", Communications in Partial Differential Equations, vol. 28, no. 1-2, pp. 349-379 -
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Existence of a weak solution for the semigeostrophic equation with integrable initial data: Royal Society of Edinburgh - Proceedings A 2002
Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2002). "Existence of a weak solution for the semigeostrophic equation with integrable initial data", Royal Society of Edinburgh - Proceedings A, vol. 132, no. 2, pp. 329-339 -
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Existence of vortex sheets with reflection symmetry in two space dimensions: Archive for Rational Mechanics and Analysis 2001
Lopes Filho, M.C. and Nussenzveig Lopes, H.J. and Xin, Z., (2001). "Existence of vortex sheets with reflection symmetry in two space dimensions", Archive for Rational Mechanics and Analysis, vol. 158, no. 3, pp. 235-257 -
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Pointwise blow-up of sequences bounded in L1: Journal of Mathematical Analysis and Applications 2001
Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2001). "Pointwise blow-up of sequences bounded in L1", Journal of Mathematical Analysis and Applications, vol. 263, no. 2, pp. 447-454 -
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Approximate solutions of the incompressible Euler equations with no concentrations: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 2000
Lopes Filho, M.C. and Nussenzveig Lopes, H.J. and Tadmor, E., (2000). "Approximate solutions of the incompressible Euler equations with no concentrations", Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, vol. 17, no. 3, pp. 371-412 -
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Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity: SIAM Journal on Mathematical Analysis 2000
Hounie, J. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (2000). "Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity", SIAM Journal on Mathematical Analysis, vol. 31, no. 1, pp. 134-153 -
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A priori temporal regularity for the stream function of 2D incompressible, inviscid flow: Nonlinear Analysis, Theory, Methods and Applications 1999
Hounie, J. and Lopes Filho, M.C. and Nussenzveig Lopes, H.J. and Schochet, S., (1999). "A priori temporal regularity for the stream function of 2D incompressible, inviscid flow", Nonlinear Analysis, Theory, Methods and Applications, vol. 35, no. 7, pp. 871-884 -
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Convergence of the vanishing viscosity approximation for superpositions of confined eddies: Communications in Mathematical Physics 1999
Lopes Filho, M.C. and Nussenzveig Lopes, H.J. and Zheng, Y., (1999). "Convergence of the vanishing viscosity approximation for superpositions of confined eddies", Communications in Mathematical Physics, vol. 201, no. 2, pp. 291-304 -
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Propagation of support and singularity formation for a class of 2D quasilinear hyperbolic systems: Quarterly of Applied Mathematics 1999
Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (1999). "Propagation of support and singularity formation for a class of 2D quasilinear hyperbolic systems", Quarterly of Applied Mathematics, vol. 57, no. 2, pp. 229-243 -
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An extension of Marchioro's bound on the growth of a vortex patch to flows with LP vorticity: SIAM Journal on Mathematical Analysis 1998
Lopes Filho, M.C. and Nussenzveig Lopes, H.J., (1998). "An extension of Marchioro's bound on the growth of a vortex patch to flows with LP vorticity", SIAM Journal on Mathematical Analysis, vol. 29, no. 3, pp. 596-599 -
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A priori estimates for the stream function of a 2D incompressible, inviscid fluid: Nonlinear Analysis, Theory, Methods and Applications 1997
Hounie, J. and Lopes-Filho, M.C. and Nussenzveig Lopes, H.J. and Socket, S., (1997). "A priori estimates for the stream function of a 2D incompressible, inviscid fluid", Nonlinear Analysis, Theory, Methods and Applications, vol. 30, no. 8, pp. 5053-5058 -
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Concentration sets for 2D incompressible flow: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 1996
Lopes-Filho, M.C. and Nussenzveig Lopes, H.J., (1996). "Concentration sets for 2D incompressible flow", ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 76, no. SUPPL. 2, pp. 101-104 -
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Singularity formation for a system of conservation laws in two space dimensions: Journal of Mathematical Analysis and Applications 1996
Lopes-Filho, M.C. and Nussenzveig Lopes, H.J., (1996). "Singularity formation for a system of conservation laws in two space dimensions", Journal of Mathematical Analysis and Applications, vol. 200, no. 3, pp. 538-547 -
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Smooth solutions of partially aligned systems of conservation laws: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 1996
Lopes-Filho, M.C. and Nussenzveig Lopes, H.J., (1996). "Smooth solutions of partially aligned systems of conservation laws", ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, vol. 76, no. SUPPL. 2, pp. 141-144 -
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A geometric study of shocks in equations that change type: Journal of Dynamics and Differential Equations 1994
Keyfitz, B.L. and Lopes-Filho, M.d.C., (1994). "A geometric study of shocks in equations that change type", Journal of Dynamics and Differential Equations, vol. 6, no. 3, pp. 351-393
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