Decay in time of incompressible flows HO Kreiss, T Hagstrom, J Lorenz, P Zingano Journal of Mathematical Fluid Mechanics 5 (3), 231-244, 2003 | 60 | 2003 |

Interpolation of scattered data: investigating alternatives for the modified Shepard method K Basso, PRDA Zingano, CMDS Freitas XII Brazilian Symposium on Computer Graphics and Image Processing (Cat. No …, 1999 | 31 | 1999 |

Properties at potential blow-up times for the incompressible Navier-Stokes equations J Lorenz, PR Zingano Bol. Soc. Paran. Mat 35 (2), 127-158, 2017 | 26 | 2017 |

On some energy inequalities and supnorm estimates for advection–diffusion equations in Rn PB e Silva, L Schütz, PR Zingano Nonlinear Analysis: Theory, Methods & Applications 93, 90-96, 2013 | 25 | 2013 |

On the supnorm form of Leray¢s problem for the incompressible Navier-Stokes equations L Schütz, JP Zingano, PR Zingano Journal of Mathematical Physics 56 (7), 2015 | 18 | 2015 |

Nonlinear L2-stability under large disturbances PR Zingano Journal of computational and applied mathematics 103 (1), 207-219, 1999 | 18 | 1999 |

Nonlinear stability with decay rate for traveling wave solutions of a hyperbolic system with relaxation PR Zingano journal of differential equations 130 (1), 36-58, 1996 | 18 | 1996 |

Large time behavior for MHD micropolar fluids in Rn FW Cruz, CF Perusato, MA Rojas-Medar, PR Zingano Journal of Differential Equations 312, 1-44, 2022 | 13 | 2022 |

Lower bounds on blow-up of solutions for magneto-micropolar fluid systems in homogeneous Sobolev spaces P Braz e Silva, WG Melo, PR Zingano Acta Applicandae Mathematicae 147, 1-17, 2017 | 13 | 2017 |

Some remarks on the paper “On the blow up criterion of 3D Navier–Stokes equations” by J. Benameur P Braz e Silva, WG Melo, PR Zingano Comptes Rendus. Mathématique 352 (11), 913-915, 2014 | 13 | 2014 |

General Asymptotic Supnorm Estimates for Solutions of One‐Dimensional Advection‐Diffusion Equations in Heterogeneous Media JA Barrionuevo, LS Oliveira, PR Zingano International Journal of Partial Differential Equations 2014 (1), 450417, 2014 | 13 | 2014 |

Decay in time of the solutions of the Navier-Stokes equations for incompressible flows HO Kreiss, T Hagstrom, J Lorenz, PR Zingano unpublished note, University of New Mexico, Albuquerque, NM, 2002 | 13 | 2002 |

Local existence, uniqueness and lower bounds of solutions for the magnetohydrodynamics equations in Sobolev-Gevrey spaces WG Melo, NF Rocha, PR Zingano Journal of Mathematical Analysis and Applications 482 (1), 123524, 2020 | 12 | 2020 |

The Navier-Stokes equations for incompressible flows: solution properties at potential blow-up times J Lorenz, PR Zingano arXiv preprint arXiv:1503.01767, 2015 | 12 | 2015 |

On two new inequalities for Leray solutions of the Navier-Stokes equations in Rn T Hagstrom, J Lorenz, JP Zingano, PR Zingano Journal of Mathematical Analysis and Applications 483 (1), 123601, 2020 | 11 | 2020 |

On the L2 decay of weak solutions for the 3D asymmetric fluids equations PB e Silva, FW Cruz, LBS Freitas, PR Zingano Journal of Differential Equations 267 (6), 3578-3609, 2019 | 11 | 2019 |

A note on the regularity time of Leray solutions to the Navier–Stokes equations P Braz e Silva, JP Zingano, PR Zingano Journal of Mathematical Fluid Mechanics 21, 1-7, 2019 | 11 | 2019 |

An asymptotic supnorm estimate for solutions of 1-D systems of convection–diffusion equations PB e Silva, WG Melo, PR Zingano Journal of Differential Equations 258 (8), 2806-2822, 2015 | 11 | 2015 |

Upper and lower H˙ m estimates for solutions to parabolic equations RH Guterres, CJ Niche, CF Perusato, PR Zingano Journal of Differential Equations 356, 407-431, 2023 | 8 | 2023 |

Sharp pointwise estimates for functions in the Sobolev spaces Hs (Rn) L Schutz, JS Ziebel, JP Zingano, PR Zingano arXiv preprint arXiv:1602.01902, 2016 | 8 | 2016 |