My research interests lie in nonlinear dynamical systems (attractors and shadowing) and semigroup theory.
Shadowing and hyperbolicity for infinite dimensional Morse-Smale dynamical systems. Mathematische Annalen (2026). Joint work with J. Arrieta and A. Carvalho.
Construction of attractors for dynamical systems on time-dependent phase spaces: Theory and Application. Nonlinear Analysis: Hybrid Systems (2026). Joint work with H. López-Lázaro, V. Azevedo and S. Yang.
Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome. Mathematical Methods in the Applied Sciences (2026). Joint work with J. López-de-la-Cruz and F. Rivero.
Spectral analysis for some third-order differential equations: a semigroup approach. Annali della Scuola Normale Superiori di Pisa- Classe di Scienze (2025). Joint work with A. Carvalho, F. Bezerra and L. Santos.
Pullback exponential attractor of dynamical systems associated with non-cylindrical problems. Journal of Mathematical Analysis and Applications (2025). Joint work with H. López-Lázaro, O. Rúbio and J. Neyra.
Spectral and Probabilistic Analysis of Third-Order Linear Abstract Differential Equations. Journal of Dynamics and Differential Equations (2025). Joint work with F. Bezerra and H. López-Lázaro.
Existence and continuity of pullback exponential attractors for a family of non-classical reaction-diffusion equations. Communications in Nonlinear Science and Numerical Simulation (2025). Joint work with H. López-Lázaro and V. Azevedo.
Spectral Analysis for Some Third-Order Differential Equations: Well-Posedness and Regularity. Asymptotic Analysis (2025). Joint work with F. Bezerra and L. Santos.
Pullback attractors with finite fractal dimension for a semilinear transfer equation with delay in some non-cylindrical domain. Journal of Differential Equations (2024). Joint work with V. Azevedo, H. López-Lázaro and M. Nascimento.
Spectral analysis and exponential stability of a generalized fractional Moore-Gibson-Thompson equation. Discrete and Continuous Dynamical Systems - B (2024). Joint work with F. Bezerra, L. Santos and M. Silva.
A Note on the Spectral Analysis of Some Fourth-Order Differential Equations with a Semigroup Approach. Results in Mathematics (2023). Joint work with F. Bezerra, L. Santos and M. Silva.