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Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC)
(Institutional affiliation for the last research proposal)

Birthplace:
Brazil

She holds a PhD in Mathematics from the University of California, Berkeley (1991). Was visiting professor at the Univ. of Kentucky (1991-92) at Indiana University (1997), at Penn State University (2002-03) and at the Univ. of California, Riverside (2011-2012). Was the Distingished Visiting Professor of Mathematics at Brown University, 2017. Faculty at Unicamp from 1992 to 2012, currently full professor in the Department of Mathematics at IM-UFRJ, since 2012. She has experience in the area of ​​Partial Differential Equations, mainly in Fluid Dynamics area; the main topic of her ​​research are irregular solutions of the equations for incompressible fluids dynamics, such as Euler and Navier-Stokes and derivative systems. Apart from these, she also worked with variational inequalities systems of conservation laws and also with applications of optimal transport theory. She was Editor-in-chief of the SBM Book Publishing business, 2008-2010, an alternate member of the CA Mathematics / Statistics CNPq, 2007-2010, and a member of the Mathematics and Statistics Area Coordination of FAPESP, 2007-2011. She is Associate Editor of SIAM Journal on Mathematical Analysis and also a member of the Editorial Board of the Mathematical Methods in the Applied Sciences. She was the second vice president of SBMAC 2011 to 2013, as well as member of the SBMAC Council since 2014. She was the Representative of SBMAC with the ICIAM Board from 2011 to 2015. She was elected Chair of the SIAM Activity Group on Analysis of PDE for 2015-2016 and Head the Department of Mathematics of IM-UFRJ for the term 2014-2016. She is a member of the Scientific Council of the Centre International des Mathématiques Pures et Appliquées - CIMPA since 2013. She was awarded the National Order of Scientific Merit in 2010 and she was elected a Fellow of the Society for Industrial and Applied Mathematics in 2016. She is an Invited Speaker in the Partial Differential Equations Session of the International Congress of Mathematicians (ICM) 2018. (Source: Lattes Curriculum)

Research grants

Scholarships in Brazil

- The viscous vortex-wave system, BP.PD
### Abstract

The vortex-wave system is a mathematical model for the behavior of 2D incompressible flows in which the vorticity has a continuouly distributed part who interacts with small regions of concentrated vorticity. This is a version of vortex dynamics for ideal fluids, introduced by C. Marchioro and M. Pulvirenti in \cite{Marchioro-Pulvirenti}. The main purpose of this post-doctoral project i...

- Incompressible flow around an obstacle, BP.IC
### Abstract

In this project we intend to consider incompressible flows in the exterior of a planar obstacle. The main objective is to investigate the problem of the influence of the geometry of the obstacle on the flow exterior to it (curvature, convexity, etc), in the presence of a non-vanishing background constant velocity at infinity.

*Updated October 06, 2018

11 / 2 | Completed research grants |

8 / 2 | Completed scholarships in Brazil |

3 / 0 | Completed scholarships abroad |

22 / 4 | All Research Grants and Scholarships |

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

Publications | 7 |

Citations | 83 |

Cit./Article | 11.9 |

Data from Web of Science |

BURTON, GEOFFREY R.; NUSSENZVEIG LOPES, HELENA J.; LOPES FILHO, MILTON C.. Nonlinear Stability for Steady Vortex Pairs.** Communications in Mathematical Physics**, v. 324, n. 2, p. 445-463, DEC 2013. Web of Science Citations: 1. (06/51079-2, 07/51490-7)

BRONZI, ANNE C.; LOPES FILHO, MILTON C.; NUSSENZVEIG LOPES, HELENA J.. WILD SOLUTIONS FOR 2D INCOMPRESSIBLE IDEAL FLOW WITH PASSIVE TRACER.** COMMUNICATIONS IN MATHEMATICAL SCIENCES**, v. 13, n. 5, p. 1333-1343, 2015. Web of Science Citations: 2. (07/51490-7)

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.** Indiana University Mathematics Journal**, v. 64, n. 1, p. 309-341, 2015. Web of Science Citations: 4. (07/51490-7)

BRONZI, ANNE C.; LOPES FILHO, MILTON C.; LOPES, HELENA J. NUSSENZVEIG. Computational visualization of Shnirelman's compactly supported weak solution.** PHYSICA D-NONLINEAR PHENOMENA**, v. 237, n. 14-17, p. 1989-1992, AUG 15 2008. Web of Science Citations: 1.

LOPES FILHO, MILTON C.; NUSSENZVEIG LOPES, HELENA J.; PRECIOSO, JULIANA C.. LEAST ACTION PRINCIPLE AND THE INCOMPRESSIBLE EULER EQUATIONS WITH VARIABLE DENSITY.** TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY**, v. 363, n. 5, p. 2641-2661, MAY 2011. Web of Science Citations: 1. (07/51490-7)

IFTIMIE, DRAGOS; LOPES FILHO, MILTON C.; NUSSENZVEIG LOPES, HELENA J.. Incompressible Flow Around a Small Obstacle and the Vanishing Viscosity Limit.** Communications in Mathematical Physics**, v. 287, n. 1, p. 99-115, APR 2009. Web of Science Citations: 10. (07/51490-7, 06/04861-7)

LOPES, MC; LOPES, HJN; PLANAS, G. On the inviscid limit for two-dimensional incompressible flow with Navier friction condition.** SIAM JOURNAL ON MATHEMATICAL ANALYSIS**, v. 36, n. 4, p. 1130-1141, 2005. Web of Science Citations: 64.

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