LIST OF PUBLICATIONS

Articles in Periodicals

• Iftimie, D., Lopes Filho, M. C. and Nussenzveig Lopes, H. J., Two dimensional incompressible viscous flow around a small obstacle, submitted.
  
• Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Schochet, S.,  A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution, to appear, Trans. Amer. Math. Soc., 2006 preprint.
• Lopes Filho, M. C., Nussenzveig Lopes H. J. and Zhouping Xin, Vortex sheets with reflection symmetry in exterior domains, to appear, J. Diff. Eqs., 2006 preprint.
• Lopes Filho, M.C., Lowengrub, J., Nussenzveig Lopes, H.J. and Zheng, Y.,  Numerical evidence for the nonunique evolution of vortex sheets in the plane, to appear, Model. Math. et Anal. Num., 2006.
  
• Lopes Filho, M. C., Mazzucato, A. and Nussenzveig Lopes H. J., Weak solutions, renormalized solutions and enstrophy defects in 2D turbulence, Arch. Rat. Mech. Analysis, 179  (2006) 353-387 preprint.
• Lopes Filho, M. C., Nussenzveig Lopes, H. J. and Planas, G., On the inviscid limit for 2D incompressible flow with Navier friction condition, SIAM J. Math Analysis, 36 (2005) 1130-1141. preprint
• Iftimie, D., Lopes Filho, M. C., Nussenzveig Lopes, H. J., On the large time behavior of two-dimensional vortex dynamics, Physica D, 179 (2003), 153-160.
• Iftimie, D., Lopes Filho, M. C., Nussenzveig Lopes, H. J., Large time behavior for vortex evolution in the half-plane, Commun. Math. Phys., 237 (2003), 441-469. reprint
• Iftimie, D., Lopes Filho, M. C., Nussenzveig Lopes, H. J., Two dimensional incompressible ideal flow around a small obstacle, Comm. Partial Diff. Eqs., 28 (2003), no. 1-2, 349-379.  reprint
• Lopes Filho, M.C., Nussenzveig Lopes, H. J. and Souza, M.O., On the equation satisfied by a steady  Prandtl-Munk vortex sheet, to appear, Commun. Math. Sciences, 1 (2003), 68-73. 
• Lopes Filho, M. C. and Nussenzveig Lopes, H. J., Existence of a weak solution for the semigeostrophic equation with integrable initial data, Proc. Royal Soc. Edinburgh, 132 (2002), 329-339 
• Lopes Filho, M.C., Nussenzveig Lopes, H. J., Pointwise blow-up of sequences bounded in L^1, J. Math. Anal. Appl. 263 (2001), 447-454,
• Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Xin, Z., Existence of vortex sheets with reflection symmetry in two space dimensions , Arch. Rat. Mech. Anal., 158 (2001), 235-257.
•  Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Tadmor, E., Approximate solutions for the incompressible Euler equations with no concentrations., Ann.Institut. Henri Poincare C, Analyse non Lineaire, 17 (2000),  371-412.
• Hounie, J., Lopes Filho, M.C. and Nussenzveig Lopes,H.J., Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity,  SIAM J. Math. Anal., 31(1999), 134-153.
• Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Zheng, Y., Convergence of the vanishing viscosity approximation for superpositions of confined eddies, Commun. Math. Phys. 201 no. 2 (1999) 291-304.
• Hounie, J., Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Schochet, S., A priori temporal regularity for the stream function of 2D, incompressible, inviscid flow, Nonlinear Analysis, T.M.A., 35 (1999), 871-884.
• Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Propagation of support and singularity formation for a class of 2D quasilinear hyperbolic systems, Quart. Appl. Math., 57 (1999) 229-243.
•  Lopes Filho, M.C. and Nussenzveig Lopes, H.J., An extension of C. Marchioro's bound on the growth of a vortex patch to flows with L^p  vorticity, SIAM J. Math. Anal., 29 (1998)  596-599.
• Nussenzveig Lopes, H.J., A refined estimate on the size of concentration sets for 2D incompressible inviscid flow,  Ind. Univ. Math. J. 46,1 (1997) 165-182.
• Adams, D.R. and Nussenzveig Lopes, H.J., Nonlinear weakly elliptic 2x2 systems of variational inequalities with unilateral obstacle constraints, Elec. J. of Diff. Eq. 1997, 18 (1997) 1-20.
• Lopes Filho, M.C. and Nussenzveig Lopes, H.J.,  Singularity formation for a system of conservation laws in two space dimensions, J. of Math. Anal. Appl. 200 (1996) 538-547.
• Adams, D.R. and Nussenzveig Lopes, H.J., Weakly elliptic systems of variational inequalities: a 2x2 model problem with obstacles in both components, Annali di Mat. Pura ed Appl. 169 (1995) 183-201.
• Nussenzveig Lopes, H.J., An estimate on the Hausdorff dimension of a concentration set for the incompressible 2D Euler equations, Ind. Univ. Math. J. 43, 2 (1994) 521-534.

Articles in Proceedings

• Iftimie, D., Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Comportement en temps grand pour les écoulements parfaits incompressibles dans un demi-plan, Semin. Eqs. Deriv. Partielles, École Polytechnique, v. 2001-2002, exp. no. XVIII, 8 pp., Palaiseau, 2002.
• Hounie, J., Lopes Filho, M.C., Nussenzveig Lopes, H.J. and Schochet, S., A priori estimates for the stream function of a 2D incompressible, inviscid fluid, Nonlinear Analysis T.M.A., special issue Proc. Int.Congress of Nonlinear Analysts 30, 8 (1997) 5053-5058.
• Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Smooth solutions of multidimensional conservation laws, Z.A.M.M. 76 Suppl.2 (1996) 141-144 , Proc. 3^rd ICIAM, Hamburg 1995.
• Lopes FIlho, M.C. and Nussenzveig Lopes, H.J., Concentration sets for 2D incompressible flow, Z.A.M.M. 76 Suppl.2 (1996) 101-104 , Proceedings 3^rd ICIAM, Hamburg 1995.
• Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Multidimensional hyperbolic systems with degenerate characteristic structure, Mat. Contemp. 8(1995) 225-238, Proc. IV Workshop in PDE, IMPA, Rio de Janeiro, 1993 reprint

Other Publications

• Lopes Filho, M. C., Nussenzveig Lopes, H. J. and Zheng, Y.,  Weak solutions to the equations of incompressible, ideal flow. Text of minicourse for the 22nd Brazilian Colloquium of Mathematics,  tableof contents   fulltext.
•  Lopes Filho, M.C. and Nussenzveig Lopes, H.J., Uma introdução a soluções de viscosidade para equações de Hamilton-Jacobi. Monografias em Matemáticav.55, IMPA, Rio de Janeiro, 1997.
• Glowinski, R. and Nussenzveig Lopes, H.J., The Laplace equation on a parallelogram with generalized periodic boundary data, Appendix to a paper by Barany, E., Golubitsky, M. and Turski, J., Physica D, 56,1(1992) 53-56.