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Preprints
with Felipe W. Cruz, Cilon F. Perusato and Marko Rojas-Medar, Asymptotic Equivalence and Decay Characterization in Second-Grade Fluid Equations. (arXiv)
Published or accepted for publication
with Masahiro Ikeda and Gabriela Planas, Global dynamics for the energy-critical nonlinear heat equation. Accepted in Discrete and Continuous Dynamical Systems. (article)
with Masahiro Ikeda and Gabriela Planas, Dynamics of dissipative solutions to the Hardy-Sobolev parabolic equation. Accepted in Dynamics of Partial Differential Equations. (arXiv)
with Robert Guterres, Wilberclay Melo, Cilon F. Perusato and Paulo Zingano, Strong Alignment of Micro-rotation and Vorticity in 3D Micropolar Flows. Nonlinearity 38, 015006 (2025). (article)
with Masahiro Ikeda, Leonardo Kosloff and Gabriela Planas, Algebraic decay rates for 3D Navier-Stokes and Navier-Stokes-Coriolis equations in $\dot{H} ^{1/2}$. Journal of Evolution Equations 24, 58 (2024). (article)
with Izabela Patrício Bastos, Daniel Alfaro Vigo, Ailín Ruiz de Zárate and Janaina Schoeffel, Global well-posedness for a family of regularized Benjamin-type equations. Nonlinear Analysis RWA 78, 104074 (2024). (article)
with Leonardo Kosloff and Gabriela Planas, Decay rates for the 4D energy-critical nonlinear heat equation. Bulletin of the London Mathematical Society 56, 1468 -1482 (2024). (article)
with Robert Guterres, Cilon F. Perusato and Paulo Zingano, Upper and lower $\dot{H} ^m$ estimates for solutions to parabolic equations. Journal of Differential Equations 356, 407 - 431 (2023). (article)
with Cilon F. Perusato, Sharp decay estimates and asymptotic behaviour for 3D magneto-micropolar fluids. Zeitschrift für Angewandte Mathematik und Physik 73, Article 48 (2022). (article)
with Armando S. Cárdenas, Decay character and estimates for the damped wave equation. Journal of Mathematical Analysis and Applications 506, Article 125548 (2022). (article)
with Leonardo Kosloff and Gabriela Planas, Inviscid limit for SQG equation in different dispersive regimes via relative energy inequality. Applied Mathematics Letters 88, 243 - 249 (2019). (article)
with Janaina Schoeffel, Ailín Ruiz de Zárate, Higidio Portillo Oquendo e Daniel Alfaro Vigo, Well-posedness for the regularized intermediate long-wave equation. Communications in Mathematical Sciences 16, 523 – 535 (2018). (article)
with Lucas C.F. Ferreira e Gabriela Planas, Decay of solutions to dissipative modified quasi-geostrophic equations. Proceedings of the American Mathematical Society 145, 287 – 301 (2017). (article)
with María Elena Schonbek, Comparison of decay of solutions to two compressible approximations to the Navier-Stokes equations. Bulletin of the Brazilian Mathematical Society 47, 641 – 654 (2016). (article)
Decay characterization of solutions to the Navier-Stokes-Voigt equations in terms of the initial datum. Journal of Differential Equations 260, 4440 – 4453 (2016). (article)
with Viktor L. Ginzburg, A Remark on Unique Ergodicity and the Contact Type Condition. Archiv der Mathematik 105, 585 – 592 (2015). (article)
with María Elena Schonbek, Decay characterization of solutions to dissipative equations. Journal of the London Mathematical Society 91, 573 – 595 (2015). (article)
with María Elena Schonbek, Decay characterization for solutions to dissipative equations in terms of the initial datum, Proceedings of the Workshop on Mathematical Analysis of Viscous Incompressible Fluid, Kyoto – Japan (November 25-27, 2013). RIMS Kôkyûroku 1905 (2014), 30 – 39. (article)
with Rafael Orive, Decay of solutions to a porous media equation with fractional diffusion. Advances in Differential Equations 19, 133 – 160, (2014). (article)
with Gabriela Planas, Existence and decay of solutions to the dissipative quasi-geostrophic equation with delays. Nonlinear Analysis TMA 75, 3936 – 3950, (2012). (article)
with Clayton Bjorland, On the decay of infinite energy solutions to the Navier-Stokes equations in the plane. Physica D 240, 670 – 674, (2011). (article)
with Gabriela Planas, Existence and decay of solutions in full space to Navier-Stokes equations with delays. Nonlinear Analysis TMA 74, 244 – 256, (2011). (article)
with María Elena Schonbek, Decay of weak solutions to the 2D dissipative quasi-geostrophic equation. Communications in Mathematical Physics 276, 93 – 115, (2007). (article)
Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles. Discrete and Continuous Dynamical Systems A 14, 617 – 630, (2006). (article)
Topological entropy of a magnetic flow and the growth of the number of trajectories. Discrete and Continuous Dynamical Systems A 11, 577 – 580, (2004). (article)
Sobre la entropía topológica de un flujo Hamiltoniano óptico. Publicaciones Matemáticas del Uruguay 9, 69 – 91, (2002).
On the topological entropy of an optical Hamiltonian flow. Nonlinearity 14, 817 – 828, (2001). (article)
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