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. Discrete and Continuous Dynamical Systems 48, 104 - 125 (2026). (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)